100122121120120 has 64 divisors (see below), whose sum is σ = 246032615687040. Its totient is φ = 36366811689600.

The previous prime is 100122121120031. The next prime is 100122121120159. The reversal of 100122121120120 is 21021121221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122121120094 and 100122121120103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128462146 + ... + 129239185.

It is an arithmetic number, because the mean of its divisors is an integer number (3844259620110).

Almost surely, 2^{100122121120120} is an apocalyptic number.

100122121120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122121120120 is an abundant number, since it is smaller than the sum of its proper divisors (145910494566920).

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

100122121120120 is a wasteful number, since it uses less digits than its factorization.

100122121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257702236 (or 257702232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100122121120120 its reverse (21021121221001), we get a palindrome (121143242341121).

The spelling of 100122121120120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".