10102010100021 has 48 divisors (see below), whose sum is σ = 17410804492800. Its totient is φ = 5772098174976.

The previous prime is 10102010100001. The next prime is 10102010100031. The reversal of 10102010100021 is 12000101020101.

It is a happy number.

It is not a de Polignac number, because 10102010100021 - 2¹⁸ = 10102009837877 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102010099976 and 10102010100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102010100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15947676 + ... + 16569018.

It is an arithmetic number, because the mean of its divisors is an integer number (362725093600).

Almost surely, 2^{10102010100021} is an apocalyptic number.

It is an amenable number.

10102010100021 is a deficient number, since it is larger than the sum of its proper divisors (7308794392779).

10102010100021 is a wasteful number, since it uses less digits than its factorization.

10102010100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633655 (or 633642 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10102010100021 its reverse (12000101020101), we get a palindrome (22102111120122).

The spelling of 10102010100021 in words is "ten trillion, one hundred two billion, ten million, one hundred thousand, twenty-one".