101112110202112 has 72 divisors (see below), whose sum is σ = 209058994486440. Its totient is φ = 48749592944640.

The previous prime is 101112110202071. The next prime is 101112110202149. The reversal of 101112110202112 is 211202011211101.

It can be written as a sum of positive squares in 4 ways, for example, as 1759379405056 + 99352730797056 = 1326416^2 + 9967584^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070839 + ... + 14548342.

It is an arithmetic number, because the mean of its divisors is an integer number (2903597145645).

Almost surely, 2^{101112110202112} is an apocalyptic number.

It is an amenable number.

101112110202112 is an abundant number, since it is smaller than the sum of its proper divisors (107946884284328).

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

101112110202112 is an equidigital number, since it uses as much as digits as its factorization.

101112110202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17619999 (or 17619985 counting only the distinct ones).

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

Adding to 101112110202112 its reverse (211202011211101), we get a palindrome (312314121413213).

The spelling of 101112110202112 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, two hundred two thousand, one hundred twelve".