10100100200021 has 6 divisors (see below), whose sum is σ = 10936794891330. Its totient is φ = 9323169415248.

The previous prime is 10100100199967. The next prime is 10100100200033. The reversal of 10100100200021 is 12000200100101.

It can be written as a sum of positive squares in 3 ways, for example, as 733225713796 + 9366874486225 = 856286^2 + 3060535^2 .

It is not a de Polignac number, because 10100100200021 - 2³⁴ = 10082920330837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100100199981 and 10100100200008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100200921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29881953086 + ... + 29881953423.

It is an arithmetic number, because the mean of its divisors is an integer number (1822799148555).

Almost surely, 2^{10100100200021} is an apocalyptic number.

It is an amenable number.

10100100200021 is a deficient number, since it is larger than the sum of its proper divisors (836694691309).

10100100200021 is an equidigital number, since it uses as much as digits as its factorization.

10100100200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59763906535 (or 59763906522 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100100200021 its reverse (12000200100101), we get a palindrome (22100300300122).

The spelling of 10100100200021 in words is "ten trillion, one hundred billion, one hundred million, two hundred thousand, twenty-one".