10102021120013 has 8 divisors (see below), whose sum is σ = 10212137845560. Its totient is φ = 9992026275840.

The previous prime is 10102021119941. The next prime is 10102021120031. The reversal of 10102021120013 is 31002112020101.

It can be written as a sum of positive squares in 4 ways, for example, as 1911263524 + 10100109856489 = 43718^2 + 3178067^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102021120013 - 2³⁴ = 10084841250829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102021120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021120073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30303668 + ... + 30635213.

It is an arithmetic number, because the mean of its divisors is an integer number (1276517230695).

Almost surely, 2^{10102021120013} is an apocalyptic number.

It is an amenable number.

10102021120013 is a deficient number, since it is larger than the sum of its proper divisors (110116725547).

10102021120013 is an equidigital number, since it uses as much as digits as its factorization.

10102021120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60940687.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10102021120013 its reverse (31002112020101), we get a palindrome (41104133140114).

The spelling of 10102021120013 in words is "ten trillion, one hundred two billion, twenty-one million, one hundred twenty thousand, thirteen".