102112201120 has 24 divisors (see below), whose sum is σ = 241240075524. Its totient is φ = 40844880384.

The previous prime is 102112201109. The next prime is 102112201123. The reversal of 102112201120 is 21102211201.

It can be written as a sum of positive squares in 2 ways, for example, as 95661541264 + 6450659856 = 309292^2 + 80316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102112201120.

It is not an unprimeable number, because it can be changed into a prime (102112201123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319100469 + ... + 319100788.

Almost surely, 2^102112201120 is an apocalyptic number.

102112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112201120 is an abundant number, since it is smaller than the sum of its proper divisors (139127874404).

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

102112201120 is an equidigital number, since it uses as much as digits as its factorization.

102112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638201272 (or 638201264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112201120 its reverse (21102211201), we get a palindrome (123214412321).

The spelling of 102112201120 in words is "one hundred two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".