101022000002021 has 128 divisors (see below), whose sum is σ = 124552857600000. Its totient is φ = 81786738942720.

The previous prime is 101022000002017. The next prime is 101022000002093. The reversal of 101022000002021 is 120200000220101.

It is a happy number.

It is not a de Polignac number, because 101022000002021 - 2² = 101022000002017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022000001993 and 101022000002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022000002321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53763703160 + ... + 53763705038.

It is an arithmetic number, because the mean of its divisors is an integer number (973069200000).

Almost surely, 2^{101022000002021} is an apocalyptic number.

It is an amenable number.

101022000002021 is a deficient number, since it is larger than the sum of its proper divisors (23530857597979).

101022000002021 is a wasteful number, since it uses less digits than its factorization.

101022000002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101022000002021 its reverse (120200000220101), we get a palindrome (221222000222122).

The spelling of 101022000002021 in words is "one hundred one trillion, twenty-two billion, two thousand, twenty-one".