101100102122020 has 48 divisors (see below), whose sum is σ = 212355302065200. Its totient is φ = 40431453765120.

The previous prime is 101100102121979. The next prime is 101100102122039. The reversal of 101100102122020 is 20221201001101.

It can be written as a sum of positive squares in 8 ways, for example, as 11219994339876 + 89880107782144 = 3349626^2 + 9480512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426245746 + ... + 2426287414.

It is an arithmetic number, because the mean of its divisors is an integer number (4424068793025).

Almost surely, 2^{101100102122020} is an apocalyptic number.

101100102122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100102122020 is an abundant number, since it is smaller than the sum of its proper divisors (111255199943180).

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

101100102122020 is a wasteful number, since it uses less digits than its factorization.

101100102122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64528 (or 64526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100102122020 its reverse (20221201001101), we get a palindrome (121321303123121).

The spelling of 101100102122020 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twenty-two thousand, twenty".