102112121120 has 96 divisors (see below), whose sum is σ = 266536303488. Its totient is φ = 36770787328.

The previous prime is 102112121117. The next prime is 102112121129. The reversal of 102112121120 is 21121211201.

It is a junction number, because it is equal to n+sod(n) for n = 102112121095 and 102112121104.

It is not an unprimeable number, because it can be changed into a prime (102112121129) 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 15 ways as a sum of consecutive naturals, for example, 753554 + ... + 878673.

It is an arithmetic number, because the mean of its divisors is an integer number (2776419828).

Almost surely, 2^102112121120 is an apocalyptic number.

102112121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112121120 is an abundant number, since it is smaller than the sum of its proper divisors (164424182368).

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

102112121120 is a wasteful number, since it uses less digits than its factorization.

102112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632282 (or 1632274 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112121120 its reverse (21121211201), we get a palindrome (123233332321).

The spelling of 102112121120 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".