10022121513 has 48 divisors (see below), whose sum is σ = 15414519120. Its totient is φ = 6262728192.

The previous prime is 10022121451. The next prime is 10022121547. The reversal of 10022121513 is 31512122001.

10022121513 is a `hidden beast` number, since 10 + 0 + 22 + 121 + 513 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 337199769 + 9684921744 = 18363^2 + 98412^2 .

It is not a de Polignac number, because 10022121513 - 2²⁹ = 9485250601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022121313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5918895 + ... + 5920587.

It is an arithmetic number, because the mean of its divisors is an integer number (321135815).

Almost surely, 2^10022121513 is an apocalyptic number.

It is an amenable number.

10022121513 is a deficient number, since it is larger than the sum of its proper divisors (5392397607).

10022121513 is a wasteful number, since it uses less digits than its factorization.

10022121513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10022121513 its reverse (31512122001), we get a palindrome (41534243514).

The spelling of 10022121513 in words is "ten billion, twenty-two million, one hundred twenty-one thousand, five hundred thirteen".