102112112202201 has 96 divisors (see below), whose sum is σ = 156156925317120. Its totient is φ = 66660564536064.

The previous prime is 102112112202043. The next prime is 102112112202223. The reversal of 102112112202201 is 102202211211201.

102112112202201 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 211 + 220 + 220 + 1 = 666.

It is not a de Polignac number, because 102112112202201 - 2⁹ = 102112112201689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102112112202281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4016512176 + ... + 4016537598.

It is an arithmetic number, because the mean of its divisors is an integer number (1626634638720).

Almost surely, 2^{102112112202201} is an apocalyptic number.

It is an amenable number.

102112112202201 is a deficient number, since it is larger than the sum of its proper divisors (54044813114919).

102112112202201 is an equidigital number, since it uses as much as digits as its factorization.

102112112202201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112112202201 its reverse (102202211211201), we get a palindrome (204314323413402).

The spelling of 102112112202201 in words is "one hundred two trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand, two hundred one".