100210021021 has 16 divisors (see below), whose sum is σ = 109573312320. Its totient is φ = 90889182720.

The previous prime is 100210021007. The next prime is 100210021063. The reversal of 100210021021 is 120120012001.

It is a cyclic number.

It is not a de Polignac number, because 100210021021 - 2²⁷ = 100075803293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210020989 and 100210021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210021001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10159390 + ... + 10169248.

It is an arithmetic number, because the mean of its divisors is an integer number (6848332020).

Almost surely, 2^100210021021 is an apocalyptic number.

100210021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210021021 is a deficient number, since it is larger than the sum of its proper divisors (9363291299).

100210021021 is a wasteful number, since it uses less digits than its factorization.

100210021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11916.

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

Adding to 100210021021 its reverse (120120012001), we get a palindrome (220330033022).

The spelling of 100210021021 in words is "one hundred billion, two hundred ten million, twenty-one thousand, twenty-one".