102112100233 has 16 divisors (see below), whose sum is σ = 120532450752. Its totient is φ = 85282344000.

The previous prime is 102112100137. The next prime is 102112100239. The reversal of 102112100233 is 332001211201.

It is a cyclic number.

It is not a de Polignac number, because 102112100233 - 2²⁵ = 102078545801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112100239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661938 + ... + 1722283.

It is an arithmetic number, because the mean of its divisors is an integer number (7533278172).

Almost surely, 2^102112100233 is an apocalyptic number.

102112100233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102112100233 is a deficient number, since it is larger than the sum of its proper divisors (18420350519).

102112100233 is a wasteful number, since it uses less digits than its factorization.

102112100233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384456.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102112100233 its reverse (332001211201), we get a palindrome (434113311434).

The spelling of 102112100233 in words is "one hundred two billion, one hundred twelve million, one hundred thousand, two hundred thirty-three".