10100010111021 has 6 divisors (see below), whose sum is σ = 14588903493710. Its totient is φ = 6733340074008.

The previous prime is 10100010111019. The next prime is 10100010111031. The reversal of 10100010111021 is 12011101000101.

10100010111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7652631462921 + 2447378648100 = 2766339^2 + 1564410^2 .

It is not a de Polignac number, because 10100010111021 - 2¹ = 10100010111019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122223345669 = 10100010111021 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100010110994 and 10100010111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010111031) 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, 561111672826 + ... + 561111672843.

Almost surely, 2^{10100010111021} is an apocalyptic number.

It is an amenable number.

10100010111021 is a deficient number, since it is larger than the sum of its proper divisors (4488893382689).

10100010111021 is a wasteful number, since it uses less digits than its factorization.

10100010111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122223345675 (or 1122223345672 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100010111021 its reverse (12011101000101), we get a palindrome (22111111111122).

The spelling of 10100010111021 in words is "ten trillion, one hundred billion, ten million, one hundred eleven thousand, twenty-one".