102121111009 has 32 divisors (see below), whose sum is σ = 113129252640. Its totient is φ = 91746816000.

The previous prime is 102121111007. The next prime is 102121111019. The reversal of 102121111009 is 900111121201.

It can be written as a sum of positive squares in 16 ways, for example, as 5464166400 + 96656944609 = 73920^2 + 310897^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121111009 - 2¹ = 102121111007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102121111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52829407 + ... + 52831339.

It is an arithmetic number, because the mean of its divisors is an integer number (3535289145).

Almost surely, 2^102121111009 is an apocalyptic number.

It is an amenable number.

102121111009 is a deficient number, since it is larger than the sum of its proper divisors (11008141631).

102121111009 is a wasteful number, since it uses less digits than its factorization.

102121111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141.

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

The spelling of 102121111009 in words is "one hundred two billion, one hundred twenty-one million, one hundred eleven thousand, nine".