100101111112 has 8 divisors (see below), whose sum is σ = 187689583350. Its totient is φ = 50050555552.

The previous prime is 100101111107. The next prime is 100101111113. The reversal of 100101111112 is 211111101001.

100101111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 88986469636 + 11114641476 = 298306^2 + 105426^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (100101111113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6256319437 + ... + 6256319452.

Almost surely, 2^100101111112 is an apocalyptic number.

It is an amenable number.

100101111112 is a deficient number, since it is larger than the sum of its proper divisors (87588472238).

100101111112 is a wasteful number, since it uses less digits than its factorization.

100101111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512638895 (or 12512638891 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100101111112 its reverse (211111101001), we get a palindrome (311212212113).

The spelling of 100101111112 in words is "one hundred billion, one hundred one million, one hundred eleven thousand, one hundred twelve".