101121120012013 has 4 divisors (see below), whose sum is σ = 101122624163968. Its totient is φ = 101119615860060.

The previous prime is 101121120011971. The next prime is 101121120012019. The reversal of 101121120012013 is 310210021121101.

It is a happy number.

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 101121120012013 - 2⁹ = 101121120011501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121120012019) 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 3 ways as a sum of consecutive naturals, for example, 751975131 + ... + 752109592.

It is an arithmetic number, because the mean of its divisors is an integer number (25280656040992).

Almost surely, 2^{101121120012013} is an apocalyptic number.

It is an amenable number.

101121120012013 is a deficient number, since it is larger than the sum of its proper divisors (1504151955).

101121120012013 is an equidigital number, since it uses as much as digits as its factorization.

101121120012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504151954.

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

Adding to 101121120012013 its reverse (310210021121101), we get a palindrome (411331141133114).

The spelling of 101121120012013 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, thirteen".