121100122102200 has 96 divisors (see below), whose sum is σ = 383397833468160. Its totient is φ = 31606272995200.

The previous prime is 121100122102177. The next prime is 121100122102243. The reversal of 121100122102200 is 2201221001121.

121100122102200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121100122102200.

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 23 ways as a sum of consecutive naturals, for example, 2147137086 + ... + 2147193485.

It is an arithmetic number, because the mean of its divisors is an integer number (3993727431960).

Almost surely, 2^{121100122102200} is an apocalyptic number.

121100122102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100122102200 is an abundant number, since it is smaller than the sum of its proper divisors (262297711365960).

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

121100122102200 is a wasteful number, since it uses less digits than its factorization.

121100122102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294330637 (or 4294330628 counting only the distinct ones).

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

Adding to 121100122102200 its reverse (2201221001121), we get a palindrome (123301343103321).

The spelling of 121100122102200 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, two hundred".