102112244103204 has 18 divisors (see below), whose sum is σ = 258117061483190. Its totient is φ = 34037414701056.

The previous prime is 102112244103143. The next prime is 102112244103229. The reversal of 102112244103204 is 402301442211201.

102112244103204 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 224 + 410 + 3 + 20 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83935647489600 + 18176596613604 = 9161640^2 + 4263402^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1418225612509 + ... + 1418225612580.

Almost surely, 2^{102112244103204} is an apocalyptic number.

It is an amenable number.

102112244103204 is an abundant number, since it is smaller than the sum of its proper divisors (156004817379986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102112244103204 is a wasteful number, since it uses less digits than its factorization.

102112244103204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836451225099 (or 2836451225094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102112244103204 its reverse (402301442211201), we get a palindrome (504413686314405).

The spelling of 102112244103204 in words is "one hundred two trillion, one hundred twelve billion, two hundred forty-four million, one hundred three thousand, two hundred four".