10122010112013 has 4 divisors (see below), whose sum is σ = 13496013482688. Its totient is φ = 6748006741340.

The previous prime is 10122010111973. The next prime is 10122010112059. The reversal of 10122010112013 is 31021101022101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10122010112013 - 2¹² = 10122010107917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122010111983 and 10122010112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122010112713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1687001685333 + ... + 1687001685338.

It is an arithmetic number, because the mean of its divisors is an integer number (3374003370672).

Almost surely, 2^{10122010112013} is an apocalyptic number.

It is an amenable number.

10122010112013 is a deficient number, since it is larger than the sum of its proper divisors (3374003370675).

10122010112013 is an equidigital number, since it uses as much as digits as its factorization.

10122010112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374003370674.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10122010112013 its reverse (31021101022101), we get a palindrome (41143111134114).

The spelling of 10122010112013 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred twelve thousand, thirteen".