10021211012113 has 16 divisors (see below), whose sum is σ = 11489743710720. Its totient is φ = 8561912726016.

The previous prime is 10021211012107. The next prime is 10021211012143. The reversal of 10021211012113 is 31121011212001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10021211012113 - 2⁹ = 10021211011601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021211012143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137770968 + ... + 137843686.

It is an arithmetic number, because the mean of its divisors is an integer number (718108981920).

Almost surely, 2^{10021211012113} is an apocalyptic number.

It is an amenable number.

10021211012113 is a deficient number, since it is larger than the sum of its proper divisors (1468532698607).

10021211012113 is an equidigital number, since it uses as much as digits as its factorization.

10021211012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135936.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10021211012113 its reverse (31121011212001), we get a palindrome (41142222224114).

The spelling of 10021211012113 in words is "ten trillion, twenty-one billion, two hundred eleven million, twelve thousand, one hundred thirteen".