10121002121009 has 16 divisors (see below), whose sum is σ = 10914555060864. Its totient is φ = 9329595657600.

The previous prime is 10121002121003. The next prime is 10121002121011. The reversal of 10121002121009 is 90012120012101.

It is a cyclic number.

It is not a de Polignac number, because 10121002121009 - 2²⁸ = 10120733685553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121002121003) 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, 268506854 + ... + 268544544.

It is an arithmetic number, because the mean of its divisors is an integer number (682159691304).

Almost surely, 2^{10121002121009} is an apocalyptic number.

It is an amenable number.

10121002121009 is a deficient number, since it is larger than the sum of its proper divisors (793552939855).

10121002121009 is a wasteful number, since it uses less digits than its factorization.

10121002121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65608.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10121002121009 in words is "ten trillion, one hundred twenty-one billion, two million, one hundred twenty-one thousand, nine".