101212121009 has 16 divisors (see below), whose sum is σ = 107941513680. Its totient is φ = 94570721280.

The previous prime is 101212120991. The next prime is 101212121029. The reversal of 101212121009 is 900121212101.

It can be written as a sum of positive squares in 8 ways, for example, as 23786275984 + 77425845025 = 154228^2 + 278255^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212121009 - 2²⁴ = 101195343793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101212121029) 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, 1796927 + ... + 1852395.

It is an arithmetic number, because the mean of its divisors is an integer number (6746344605).

Almost surely, 2^101212121009 is an apocalyptic number.

It is an amenable number.

101212121009 is a deficient number, since it is larger than the sum of its proper divisors (6729392671).

101212121009 is a wasteful number, since it uses less digits than its factorization.

101212121009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56260.

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

The spelling of 101212121009 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, nine".