102010012122009 has 16 divisors (see below), whose sum is σ = 136058984006400. Its totient is φ = 67983859182720.

The previous prime is 102010012121993. The next prime is 102010012122019. The reversal of 102010012122009 is 900221210010201.

102010012122009 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102010012122009 - 2⁴ = 102010012121993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102010012122019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258895269 + ... + 259288989.

It is an arithmetic number, because the mean of its divisors is an integer number (8503686500400).

Almost surely, 2^{102010012122009} is an apocalyptic number.

It is an amenable number.

102010012122009 is a deficient number, since it is larger than the sum of its proper divisors (34048971884391).

102010012122009 is a wasteful number, since it uses less digits than its factorization.

102010012122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422480.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 102010012122009 in words is "one hundred two trillion, ten billion, twelve million, one hundred twenty-two thousand, nine".