101022000021000 has 192 divisors, whose sum is σ = 347051974417200. Its totient is φ = 26497573632000.

The previous prime is 101022000020999. The next prime is 101022000021073. The reversal of 101022000021000 is 120000220101.

It can be written as a sum of positive squares in 8 ways, for example, as 2977426172484 + 98044573848516 = 1725522^2 + 9901746^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91456465 + ... + 92554464.

Almost surely, 2^{101022000021000} is an apocalyptic number.

101022000021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000021000 is an abundant number, since it is smaller than the sum of its proper divisors (246029974396200).

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

101022000021000 is a wasteful number, since it uses less digits than its factorization.

101022000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184011017 (or 184011000 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101022000021000 its reverse (120000220101), we get a palindrome (101142000241101).

The spelling of 101022000021000 in words is "one hundred one trillion, twenty-two billion, twenty-one thousand".