102112233201 has 64 divisors (see below), whose sum is σ = 175048473600. Its totient is φ = 58142188800.

The previous prime is 102112233169. The next prime is 102112233313. The reversal of 102112233201 is 102332211201.

It is not a de Polignac number, because 102112233201 - 2⁵ = 102112233169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112234201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2865270 + ... + 2900688.

It is an arithmetic number, because the mean of its divisors is an integer number (2735132400).

Almost surely, 2^102112233201 is an apocalyptic number.

102112233201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112233201 is a deficient number, since it is larger than the sum of its proper divisors (72936240399).

102112233201 is a wasteful number, since it uses less digits than its factorization.

102112233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36027 (or 36021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102112233201 its reverse (102332211201), we get a palindrome (204444444402).

The spelling of 102112233201 in words is "one hundred two billion, one hundred twelve million, two hundred thirty-three thousand, two hundred one".