101200122022100 has 36 divisors (see below), whose sum is σ = 219605207713500. Its totient is φ = 40479874997760.

The previous prime is 101200122022067. The next prime is 101200122022133. The reversal of 101200122022100 is 1220221002101.

It is an interprime number because it is at equal distance from previous prime (101200122022067) and next prime (101200122022133).

It can be written as a sum of positive squares in 6 ways, for example, as 14222824371856 + 86977297650244 = 3771316^2 + 9326162^2 .

It is a congruent number.

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, 22643726 + ... + 26742074.

Almost surely, 2^{101200122022100} is an apocalyptic number.

101200122022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200122022100 is an abundant number, since it is smaller than the sum of its proper divisors (118405085691400).

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

101200122022100 is a wasteful number, since it uses less digits than its factorization.

101200122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345292 (or 4345285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101200122022100 its reverse (1220221002101), we get a palindrome (102420343024201).

The spelling of 101200122022100 in words is "one hundred one trillion, two hundred billion, one hundred twenty-two million, twenty-two thousand, one hundred".