101022102131202 has 72 divisors (see below), whose sum is σ = 254696085356076. Its totient is φ = 28854484775424.

The previous prime is 101022102131183. The next prime is 101022102131221. The reversal of 101022102131202 is 202131201220101.

It is an interprime number because it is at equal distance from previous prime (101022102131183) and next prime (101022102131221).

It can be written as a sum of positive squares in 2 ways, for example, as 98131629511881 + 2890472619321 = 9906141^2 + 1700139^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14964523 + ... + 20639310.

Almost surely, 2^{101022102131202} is an apocalyptic number.

101022102131202 is an abundant number, since it is smaller than the sum of its proper divisors (153673983224874).

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

101022102131202 is a wasteful number, since it uses less digits than its factorization.

101022102131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35607072 (or 35607062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101022102131202 its reverse (202131201220101), we get a palindrome (303153303351303).

The spelling of 101022102131202 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred thirty-one thousand, two hundred two".