10013100021 has 6 divisors (see below), whose sum is σ = 14463366710. Its totient is φ = 6675400008.

The previous prime is 10013099953. The next prime is 10013100067. The reversal of 10013100021 is 12000131001.

It can be written as a sum of positive squares in only one way, i.e., 8876466225 + 1136633796 = 94215^2 + 33714^2 .

It is not a de Polignac number, because 10013100021 - 2⁷ = 10013099893 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: 1112566669 = 10013100021 / (1 + 0 + 0 + 1 + 3 + 1 + 0 + 0 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013099976 and 10013100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013100221) 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, 556283326 + ... + 556283343.

Almost surely, 2^10013100021 is an apocalyptic number.

It is an amenable number.

10013100021 is a deficient number, since it is larger than the sum of its proper divisors (4450266689).

10013100021 is a wasteful number, since it uses less digits than its factorization.

10013100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112566675 (or 1112566672 counting only the distinct ones).

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

Adding to 10013100021 its reverse (12000131001), we get a palindrome (22013231022).

The spelling of 10013100021 in words is "ten billion, thirteen million, one hundred thousand, twenty-one".