101000021022120 has 128 divisors (see below), whose sum is σ = 331353704880000. Its totient is φ = 24424988282880.

The previous prime is 101000021022011. The next prime is 101000021022137. The reversal of 101000021022120 is 21220120000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101000021022096 and 101000021022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92999445 + ... + 94079204.

It is an arithmetic number, because the mean of its divisors is an integer number (2588700819375).

Almost surely, 2^{101000021022120} is an apocalyptic number.

101000021022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000021022120 is an abundant number, since it is smaller than the sum of its proper divisors (230353683857880).

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

101000021022120 is a wasteful number, since it uses less digits than its factorization.

101000021022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187079083 (or 187079079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101000021022120 its reverse (21220120000101), we get a palindrome (122220141022221).

The spelling of 101000021022120 in words is "one hundred one trillion, twenty-one million, twenty-two thousand, one hundred twenty".