100202012111120 has 160 divisors (see below), whose sum is σ = 236064914092800. Its totient is φ = 39551248852992.

The previous prime is 100202012111107. The next prime is 100202012111153. The reversal of 100202012111120 is 21111210202001.

It is a super-2 number, since 2×100202012111120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202012111095 and 100202012111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3426515219 + ... + 3426544461.

It is an arithmetic number, because the mean of its divisors is an integer number (1475405713080).

Almost surely, 2^{100202012111120} is an apocalyptic number.

100202012111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100202012111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118032457046400).

100202012111120 is an abundant number, since it is smaller than the sum of its proper divisors (135862901981680).

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

100202012111120 is a wasteful number, since it uses less digits than its factorization.

100202012111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30817 (or 30811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100202012111120 its reverse (21111210202001), we get a palindrome (121313222313121).

The spelling of 100202012111120 in words is "one hundred trillion, two hundred two billion, twelve million, one hundred eleven thousand, one hundred twenty".