102200121200112 has 80 divisors (see below), whose sum is σ = 284940074001408. Its totient is φ = 31378272710400.

The previous prime is 102200121200077. The next prime is 102200121200183. The reversal of 102200121200112 is 211002121002201.

It is a junction number, because it is equal to n+sod(n) for n = 102200121200091 and 102200121200100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176581764 + ... + 177159587.

Almost surely, 2^{102200121200112} is an apocalyptic number.

102200121200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102200121200112 is an abundant number, since it is smaller than the sum of its proper divisors (182739952801296).

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

102200121200112 is a wasteful number, since it uses less digits than its factorization.

102200121200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353741838 (or 353741832 counting only the distinct ones).

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

Adding to 102200121200112 its reverse (211002121002201), we get a palindrome (313202242202313).

The spelling of 102200121200112 in words is "one hundred two trillion, two hundred billion, one hundred twenty-one million, two hundred thousand, one hundred twelve".