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121001100012100 = 225271159266346247
BaseRepresentation
bin11011100000110011000011…
…100101010110101001000100
3120212102120222201001212100101
4123200303003211112221010
5111324440223100341400
61105203045444253444
734326020025656440
oct3340630345265104
9525376881055311
10121001100012100
1135611307512510
12116a29a76a1284
13526947c57b839
1421c46ad619820
15dec7b275656a
hex6e0cc3956a44

121001100012100 has 144 divisors (see below), whose sum is σ = 332911502300160. Its totient is φ = 37075397443200.

The previous prime is 121001100012049. The next prime is 121001100012101. The reversal of 121001100012100 is 1210001100121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121001100012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132718824 + ... + 133627423.

It is an arithmetic number, because the mean of its divisors is an integer number (2311885432640).

Almost surely, 2121001100012100 is an apocalyptic number.

121001100012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001100012100 is an abundant number, since it is smaller than the sum of its proper divisors (211910402288060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121001100012100 is a wasteful number, since it uses less digits than its factorization.

121001100012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266346338 (or 266346331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121001100012100 its reverse (1210001100121), we get a palindrome (122211101112221).

The spelling of 121001100012100 in words is "one hundred twenty-one trillion, one billion, one hundred million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 59 70 77 100 110 118 140 154 175 220 236 275 295 308 350 385 413 550 590 649 700 770 826 1100 1180 1298 1475 1540 1652 1925 2065 2596 2950 3245 3850 4130 4543 5900 6490 7700 8260 9086 10325 12980 16225 18172 20650 22715 32450 41300 45430 64900 90860 113575 227150 454300 266346247 532692494 1065384988 1331731235 1864423729 2663462470 2929808717 3728847458 5326924940 5859617434 6658656175 7457694916 9322118645 11719234868 13317312350 14649043585 15714428573 18644237290 20508661019 26634624700 29298087170 31428857146 37288474580 41017322038 46610593225 58596174340 62857714292 73245217925 78572142865 82034644076 93221186450 102543305095 110001000011 146490435850 157144285730 172858714303 186442372900 205086610190 220002000022 292980871700 314288571460 345717428606 392860714325 410173220380 440004000044 512716525475 550005000055 691434857212 785721428650 864293571515 1025433050950 1100010000110 1210011000121 1571442857300 1728587143030 2050866101900 2200020000220 2420022000242 2750025000275 3457174286060 4321467857575 4840044000484 5500050000550 6050055000605 8642935715150 11000100001100 12100110001210 17285871430300 24200220002420 30250275003025 60500550006050 121001100012100