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121002111122100 = 223521331026182339
BaseRepresentation
bin11011100000110011111111…
…110110011011101010110100
3120212102200121011122120111220
4123200303333312123222310
5111324444310421401400
61105203334044030340
734326054054162135
oct3340637766335264
9525380534576456
10121002111122100
113561178623440a
12116a302a2323b0
1352695b0ba8890
1421c4767a19c8c
15dec8213ce7a0
hex6e0cffd9bab4

121002111122100 has 72 divisors (see below), whose sum is σ = 377030167795680. Its totient is φ = 29785135044480.

The previous prime is 121002111122027. The next prime is 121002111122107. The reversal of 121002111122100 is 1221111200121.

It is a happy number.

It is a super-2 number, since 2×1210021111221002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121002111122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002111122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15513087270 + ... + 15513095069.

Almost surely, 2121002111122100 is an apocalyptic number.

121002111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002111122100 is an abundant number, since it is smaller than the sum of its proper divisors (256028056673580).

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

121002111122100 is a wasteful number, since it uses less digits than its factorization.

121002111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31026182369 (or 31026182362 counting only the distinct ones).

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

Adding to 121002111122100 its reverse (1221111200121), we get a palindrome (122223222322221).

The spelling of 121002111122100 in words is "one hundred twenty-one trillion, two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 31026182339 62052364678 93078547017 124104729356 155130911695 186157094034 310261823390 372314188068 403340370407 465392735085 620523646780 775654558475 806680740814 930785470170 1210021111221 1551309116950 1613361481628 1861570940340 2016701852035 2326963675425 2420042222442 3102618233900 4033403704070 4653927350850 4840084444884 6050105556105 8066807408140 9307854701700 10083509260175 12100211112210 20167018520350 24200422224420 30250527780525 40334037040700 60501055561050 121002111122100