102111211009 has 16 divisors (see below), whose sum is σ = 104810706000. Its totient is φ = 99457818624.

The previous prime is 102111210973. The next prime is 102111211021. The reversal of 102111211009 is 900112111201.

It can be written as a sum of positive squares in 8 ways, for example, as 6001910784 + 96109300225 = 77472^2 + 310015^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111211009 - 2¹¹ = 102111208961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111211099) 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, 1542969 + ... + 1607785.

It is an arithmetic number, because the mean of its divisors is an integer number (6550669125).

Almost surely, 2^102111211009 is an apocalyptic number.

It is an amenable number.

102111211009 is a deficient number, since it is larger than the sum of its proper divisors (2699494991).

102111211009 is a wasteful number, since it uses less digits than its factorization.

102111211009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65172.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 102111211009 in words is "one hundred two billion, one hundred eleven million, two hundred eleven thousand, nine".