101011000111112 has 64 divisors (see below), whose sum is σ = 233288941200000. Its totient is φ = 39928401377280.

The previous prime is 101011000111079. The next prime is 101011000111117. The reversal of 101011000111112 is 211111000110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101011000111093 and 101011000111102.

It is not an unprimeable number, because it can be changed into a prime (101011000111117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54635714 + ... + 56454257.

It is an arithmetic number, because the mean of its divisors is an integer number (3645139706250).

Almost surely, 2^{101011000111112} is an apocalyptic number.

It is an amenable number.

101011000111112 is an abundant number, since it is smaller than the sum of its proper divisors (132277941088888).

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

101011000111112 is a wasteful number, since it uses less digits than its factorization.

101011000111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111091246 (or 111091242 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011000111112 its reverse (211111000110101), we get a palindrome (312122000221213).

The spelling of 101011000111112 in words is "one hundred one trillion, eleven billion, one hundred eleven thousand, one hundred twelve".