10112121120200 has 96 divisors (see below), whose sum is σ = 25650888282720. Its totient is φ = 3676723200000.

The previous prime is 10112121120169. The next prime is 10112121120203. The reversal of 10112121120200 is 202112121101.

It is not an unprimeable number, because it can be changed into a prime (10112121120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19747400 + ... + 20253000.

It is an arithmetic number, because the mean of its divisors is an integer number (267196752945).

Almost surely, 2^{10112121120200} is an apocalyptic number.

10112121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121120200 is an abundant number, since it is smaller than the sum of its proper divisors (15538767162520).

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

10112121120200 is a wasteful number, since it uses less digits than its factorization.

10112121120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514719 (or 514710 counting only the distinct ones).

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

Adding to 10112121120200 its reverse (202112121101), we get a palindrome (10314233241301).

The spelling of 10112121120200 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".