100101111111112 has 16 divisors (see below), whose sum is σ = 187719753750300. Its totient is φ = 50042510111040.

The previous prime is 100101111111107. The next prime is 100101111111137. The reversal of 100101111111112 is 211111111101001.

It can be written as a sum of positive squares in 2 ways, for example, as 100032522643876 + 68588467236 = 10001626^2 + 261894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100101111111092 and 100101111111101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1005627687 + ... + 1005727222.

Almost surely, 2^{100101111111112} is an apocalyptic number.

It is an amenable number.

100101111111112 is a deficient number, since it is larger than the sum of its proper divisors (87618642639188).

100101111111112 is a wasteful number, since it uses less digits than its factorization.

100101111111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011361136 (or 2011361132 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 100101111111112 its reverse (211111111101001), we get a palindrome (311212222212113).

The spelling of 100101111111112 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".