102200001122112 has 112 divisors (see below), whose sum is σ = 280816892832960. Its totient is φ = 32763969667072.

The previous prime is 102200001122057. The next prime is 102200001122171. The reversal of 102200001122112 is 211221100002201.

102200001122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102200001122091 and 102200001122100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34278918 + ... + 37140869.

Almost surely, 2^{102200001122112} is an apocalyptic number.

102200001122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200001122112 is an abundant number, since it is smaller than the sum of its proper divisors (178616891710848).

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

102200001122112 is a wasteful number, since it uses less digits than its factorization.

102200001122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71420088 (or 71420078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102200001122112 its reverse (211221100002201), we get a palindrome (313421101124313).

The spelling of 102200001122112 in words is "one hundred two trillion, two hundred billion, one million, one hundred twenty-two thousand, one hundred twelve".