102112220303120 has 40 divisors (see below), whose sum is σ = 237412456237440. Its totient is φ = 40844622481280.

The previous prime is 102112220303047. The next prime is 102112220303227. The reversal of 102112220303120 is 21303022211201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102112220303092 and 102112220303101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8465255 + ... + 16609785.

It is an arithmetic number, because the mean of its divisors is an integer number (5935311405936).

Almost surely, 2^{102112220303120} is an apocalyptic number.

102112220303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112220303120 is an abundant number, since it is smaller than the sum of its proper divisors (135300235934320).

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

102112220303120 is a wasteful number, since it uses less digits than its factorization.

102112220303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301263 (or 8301257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102112220303120 its reverse (21303022211201), we get a palindrome (123415242514321).

The spelling of 102112220303120 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, three hundred three thousand, one hundred twenty".