101112212102202 has 120 divisors (see below), whose sum is σ = 268529430023316. Its totient is φ = 28344124029312.

The previous prime is 101112212102183. The next prime is 101112212102207. The reversal of 101112212102202 is 202201212211101.

101112212102202 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 221 + 210 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82831277166561 + 18280934935641 = 9101169^2 + 4275621^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101112212102207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119746683 + ... + 120588110.

Almost surely, 2^{101112212102202} is an apocalyptic number.

101112212102202 is an abundant number, since it is smaller than the sum of its proper divisors (167417217921114).

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

101112212102202 is a wasteful number, since it uses less digits than its factorization.

101112212102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240334874 (or 240334858 counting only the distinct ones).

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

Adding to 101112212102202 its reverse (202201212211101), we get a palindrome (303313424313303).

The spelling of 101112212102202 in words is "one hundred one trillion, one hundred twelve billion, two hundred twelve million, one hundred two thousand, two hundred two".