100202021012112 has 40 divisors (see below), whose sum is σ = 260717488741920. Its totient is φ = 33160381052160.

The previous prime is 100202021012111. The next prime is 100202021012113. The reversal of 100202021012112 is 211210120202001.

It is an interprime number because it is at equal distance from previous prime (100202021012111) and next prime (100202021012113).

It is a junction number, because it is equal to n+sod(n) for n = 100202021012091 and 100202021012100.

It is not an unprimeable number, because it can be changed into a prime (100202021012111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7509137589 + ... + 7509150932.

It is an arithmetic number, because the mean of its divisors is an integer number (6517937218548).

Almost surely, 2^{100202021012112} is an apocalyptic number.

100202021012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100202021012112 is an abundant number, since it is smaller than the sum of its proper divisors (160515467729808).

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

100202021012112 is a wasteful number, since it uses less digits than its factorization.

100202021012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018288671 (or 15018288665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100202021012112 its reverse (211210120202001), we get a palindrome (311412141214113).

The spelling of 100202021012112 in words is "one hundred trillion, two hundred two billion, twenty-one million, twelve thousand, one hundred twelve".