101220110100112 has 20 divisors (see below), whose sum is σ = 207650078808876. Its totient is φ = 47632992988160.

The previous prime is 101220110100079. The next prime is 101220110100251. The reversal of 101220110100112 is 211001011022101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68334427063296 + 32885683036816 = 8266464^2 + 5734604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101220110100092 and 101220110100101.

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, 186066378589 + ... + 186066379132.

Almost surely, 2^{101220110100112} is an apocalyptic number.

It is an amenable number.

101220110100112 is an abundant number, since it is smaller than the sum of its proper divisors (106429968708764).

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

101220110100112 is a wasteful number, since it uses less digits than its factorization.

101220110100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372132757746 (or 372132757740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220110100112 its reverse (211001011022101), we get a palindrome (312221121122213).

The spelling of 101220110100112 in words is "one hundred one trillion, two hundred twenty billion, one hundred ten million, one hundred thousand, one hundred twelve".