101022100021000 has 32 divisors (see below), whose sum is σ = 236391714051480. Its totient is φ = 40408840008000.

The previous prime is 101022100020983. The next prime is 101022100021057. The reversal of 101022100021000 is 120001220101.

It can be written as a sum of positive squares in 4 ways, for example, as 30570216973156 + 70451883047844 = 5529034^2 + 8393562^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50511049011 + ... + 50511051010.

Almost surely, 2^{101022100021000} is an apocalyptic number.

101022100021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022100021000 is an abundant number, since it is smaller than the sum of its proper divisors (135369614030480).

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

101022100021000 is a wasteful number, since it uses less digits than its factorization.

101022100021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101022100042 (or 101022100028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022100021000 its reverse (120001220101), we get a palindrome (101142101241101).

The spelling of 101022100021000 in words is "one hundred one trillion, twenty-two billion, one hundred million, twenty-one thousand".