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101121001201221 = 31940156310337607
BaseRepresentation
bin10110111111100000010001…
…010110110001111001000101
3111021001001222102211212010220
4112333200101112301321011
5101223231302301414341
6555022202512534553
730204515451136551
oct2677402126617105
9437031872755126
10101121001201221
112a2471a2a60511
12b411b16851459
134456891b669b1
141ad83d5542861
15ba55c8d58a66
hex5bf8115b1e45

101121001201221 has 64 divisors (see below), whose sum is σ = 142687584737280. Its totient is φ = 63523559577600.

The previous prime is 101121001201217. The next prime is 101121001201267. The reversal of 101121001201221 is 122102100121101.

It is a happy number.

It is not a de Polignac number, because 101121001201221 - 22 = 101121001201217 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121001201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121001201291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13293147400 + ... + 13293155006.

It is an arithmetic number, because the mean of its divisors is an integer number (2229493511520).

Almost surely, 2101121001201221 is an apocalyptic number.

It is an amenable number.

101121001201221 is a deficient number, since it is larger than the sum of its proper divisors (41566583536059).

101121001201221 is a wasteful number, since it uses less digits than its factorization.

101121001201221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121001201221 its reverse (122102100121101), we get a palindrome (223223101322322).

The spelling of 101121001201221 in words is "one hundred one trillion, one hundred twenty-one billion, one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 19 57 401 563 1033 1203 1689 3099 7607 7619 10697 19627 22821 22857 32091 58881 144533 225763 414233 433599 581579 677289 1242699 1744737 3050407 4282741 4289497 7858031 7870427 9151221 11050001 12848223 12868491 23574093 23611281 33150003 57957733 81372079 149302589 173873199 233213179 244116237 447907767 699639537 1717379141 3151070431 4424071453 4431050401 5152137423 9453211293 13272214359 13293151203 32630203679 59870338189 84057357607 97890611037 179611014567 252172072821 1774052652653 5322157957959 33707000400407 101121001201221