100013010021 has 24 divisors (see below), whose sum is σ = 145030990104. Its totient is φ = 66413813760.

The previous prime is 100013009981. The next prime is 100013010067. The reversal of 100013010021 is 120010310001.

It can be written as a sum of positive squares in 4 ways, for example, as 31342807521 + 68670202500 = 177039^2 + 262050^2 .

It is not a de Polignac number, because 100013010021 - 2¹⁷ = 100012878949 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 = 100013009985 and 100013010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013010221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373085 + ... + 2414861.

It is an arithmetic number, because the mean of its divisors is an integer number (6042957921).

Almost surely, 2^100013010021 is an apocalyptic number.

It is an amenable number.

100013010021 is a deficient number, since it is larger than the sum of its proper divisors (45017980083).

100013010021 is a wasteful number, since it uses less digits than its factorization.

100013010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42821 (or 42818 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100013010021 its reverse (120010310001), we get a palindrome (220023320022).

The spelling of 100013010021 in words is "one hundred billion, thirteen million, ten thousand, twenty-one".