101023121309 has 24 divisors (see below), whose sum is σ = 112298798976. Its totient is φ = 90802562400.

The previous prime is 101023121291. The next prime is 101023121321. The reversal of 101023121309 is 903121320101.

It is not a de Polignac number, because 101023121309 - 2²⁴ = 101006344093 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 (101023121359) 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 23 ways as a sum of consecutive naturals, for example, 8231912 + ... + 8244174.

It is an arithmetic number, because the mean of its divisors is an integer number (4679116624).

Almost surely, 2^101023121309 is an apocalyptic number.

It is an amenable number.

101023121309 is a deficient number, since it is larger than the sum of its proper divisors (11275677667).

101023121309 is a wasteful number, since it uses less digits than its factorization.

101023121309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 101023121309 in words is "one hundred one billion, twenty-three million, one hundred twenty-one thousand, three hundred nine".