100202012111112 has 32 divisors (see below), whose sum is σ = 265240620295200. Its totient is φ = 31435925368064.

The previous prime is 100202012111107. The next prime is 100202012111153. The reversal of 100202012111112 is 211111210202001.

It is a happy number.

100202012111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100202012111112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100202012111091 and 100202012111100.

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 7 ways as a sum of consecutive naturals, for example, 122796583062 + ... + 122796583877.

It is an arithmetic number, because the mean of its divisors is an integer number (8288769384225).

Almost surely, 2^{100202012111112} is an apocalyptic number.

100202012111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202012111112 is an abundant number, since it is smaller than the sum of its proper divisors (165038608184088).

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

100202012111112 is a wasteful number, since it uses less digits than its factorization.

100202012111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245593166965 (or 245593166961 counting only the distinct ones).

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

Adding to 100202012111112 its reverse (211111210202001), we get a palindrome (311313222313113).

The spelling of 100202012111112 in words is "one hundred trillion, two hundred two billion, twelve million, one hundred eleven thousand, one hundred twelve".