101202002212112 has 160 divisors (see below), whose sum is σ = 205206798111840. Its totient is φ = 48301754941440.

The previous prime is 101202002212109. The next prime is 101202002212163. The reversal of 101202002212112 is 211212200202101.

It can be written as a sum of positive squares in 16 ways, for example, as 48948997278736 + 52253004933376 = 6996356^2 + 7228624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27374085848 + ... + 27374089544.

It is an arithmetic number, because the mean of its divisors is an integer number (1282542488199).

Almost surely, 2^{101202002212112} is an apocalyptic number.

It is an amenable number.

101202002212112 is an abundant number, since it is smaller than the sum of its proper divisors (104004795899728).

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

101202002212112 is a wasteful number, since it uses less digits than its factorization.

101202002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101202002212112 its reverse (211212200202101), we get a palindrome (312414202414213).

The spelling of 101202002212112 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twelve thousand, one hundred twelve".