101112110000010 has 96 divisors (see below), whose sum is σ = 270214939614672. Its totient is φ = 26213284177920.

The previous prime is 101112109999951. The next prime is 101112110000093. The reversal of 101112110000010 is 10000011211101.

It can be written as a sum of positive squares in 8 ways, for example, as 44297796724281 + 56814313275729 = 6655659^2 + 7537527^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101112109999947 and 101112110000001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8154031 + ... + 16392450.

Almost surely, 2^{101112110000010} is an apocalyptic number.

101112110000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112110000010 is an abundant number, since it is smaller than the sum of its proper divisors (169102829614662).

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

101112110000010 is a wasteful number, since it uses less digits than its factorization.

101112110000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24547768 (or 24547765 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101112110000010 its reverse (10000011211101), we get a palindrome (111112121211111).

The spelling of 101112110000010 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, ten", and thus it is an aban number.