101100100122020 has 48 divisors (see below), whose sum is σ = 224800234953840. Its totient is φ = 38061012885504.

The previous prime is 101100100122001. The next prime is 101100100122023. The reversal of 101100100122020 is 20221001001101.

It can be written as a sum of positive squares in 8 ways, for example, as 1594527460516 + 99505572661504 = 1262746^2 + 9975248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101100100121992 and 101100100122010.

It is not an unprimeable number, because it can be changed into a prime (101100100122023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74065532 + ... + 75418188.

It is an arithmetic number, because the mean of its divisors is an integer number (4683338228205).

Almost surely, 2^{101100100122020} is an apocalyptic number.

101100100122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100100122020 is an abundant number, since it is smaller than the sum of its proper divisors (123700134831820).

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

101100100122020 is a wasteful number, since it uses less digits than its factorization.

101100100122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572512 (or 1572510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100100122020 its reverse (20221001001101), we get a palindrome (121321101123121).

The spelling of 101100100122020 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred twenty-two thousand, twenty".