101202110222112 has 72 divisors (see below), whose sum is σ = 287884318782060. Its totient is φ = 33723391426560.

The previous prime is 101202110222093. The next prime is 101202110222141. The reversal of 101202110222112 is 211222011202101.

101202110222112 is a `hidden beast` number, since 1 + 0 + 120 + 211 + 0 + 222 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101198690779536 + 3419442576 = 10059756^2 + 58476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×101202110222112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54530089 + ... + 56355432.

Almost surely, 2^{101202110222112} is an apocalyptic number.

101202110222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202110222112 is an abundant number, since it is smaller than the sum of its proper divisors (186682208559948).

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

101202110222112 is a wasteful number, since it uses less digits than its factorization.

101202110222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110888706 (or 110888695 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101202110222112 its reverse (211222011202101), we get a palindrome (312424121424213).

The spelling of 101202110222112 in words is "one hundred one trillion, two hundred two billion, one hundred ten million, two hundred twenty-two thousand, one hundred twelve".