100111202012112 has 20 divisors (see below), whose sum is σ = 258620605198080. Its totient is φ = 33370400670688.

The previous prime is 100111202012099. The next prime is 100111202012117. The reversal of 100111202012112 is 211210202111001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100111202012091 and 100111202012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111202012117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042825020912 + ... + 1042825021007.

It is an arithmetic number, because the mean of its divisors is an integer number (12931030259904).

Almost surely, 2^{100111202012112} is an apocalyptic number.

100111202012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111202012112 is an abundant number, since it is smaller than the sum of its proper divisors (158509403185968).

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

100111202012112 is a wasteful number, since it uses less digits than its factorization.

100111202012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085650041930 (or 2085650041924 counting only the distinct ones).

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

Adding to 100111202012112 its reverse (211210202111001), we get a palindrome (311321404123113).

The spelling of 100111202012112 in words is "one hundred trillion, one hundred eleven billion, two hundred two million, twelve thousand, one hundred twelve".