102112100022209 has 8 divisors (see below), whose sum is σ = 103138998667200. Its totient is φ = 101085512902000.

The previous prime is 102112100022173. The next prime is 102112100022217. The reversal of 102112100022209 is 902220001211201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102112100022209 - 2¹² = 102112100018113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112100022299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77222309 + ... + 78533490.

It is an arithmetic number, because the mean of its divisors is an integer number (12892374833400).

Almost surely, 2^{102112100022209} is an apocalyptic number.

It is an amenable number.

102112100022209 is a deficient number, since it is larger than the sum of its proper divisors (1026898644991).

102112100022209 is a wasteful number, since it uses less digits than its factorization.

102112100022209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155762391.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 102112100022209 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, twenty-two thousand, two hundred nine".