120100221101121 has 32 divisors (see below), whose sum is σ = 167253834424320. Its totient is φ = 76513318827264.

The previous prime is 120100221101099. The next prime is 120100221101183. The reversal of 120100221101121 is 121101122001021.

It is a happy number.

It is not a de Polignac number, because 120100221101121 - 2⁵ = 120100221101089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120100221101121.

It is not an unprimeable number, because it can be changed into a prime (120100221101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359773530 + ... + 360107196.

It is an arithmetic number, because the mean of its divisors is an integer number (5226682325760).

Almost surely, 2^{120100221101121} is an apocalyptic number.

It is an amenable number.

120100221101121 is a deficient number, since it is larger than the sum of its proper divisors (47153613323199).

120100221101121 is a wasteful number, since it uses less digits than its factorization.

120100221101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338605.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120100221101121 its reverse (121101122001021), we get a palindrome (241201343102142).

The spelling of 120100221101121 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".