120002101122121 has 16 divisors (see below), whose sum is σ = 127244793052800. Its totient is φ = 112853157120000.

The previous prime is 120002101122097. The next prime is 120002101122133. The reversal of 120002101122121 is 121221101200021.

It is a cyclic number.

It is not a de Polignac number, because 120002101122121 - 2⁷ = 120002101121993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120002101122095 and 120002101122104.

It is not an unprimeable number, because it can be changed into a prime (120002101122181) 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 15 ways as a sum of consecutive naturals, for example, 10800430 + ... + 18885271.

It is an arithmetic number, because the mean of its divisors is an integer number (7952799565800).

Almost surely, 2^{120002101122121} is an apocalyptic number.

It is an amenable number.

120002101122121 is a deficient number, since it is larger than the sum of its proper divisors (7242691930679).

120002101122121 is a wasteful number, since it uses less digits than its factorization.

120002101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29687280.

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

Adding to 120002101122121 its reverse (121221101200021), we get a palindrome (241223202322142).

The spelling of 120002101122121 in words is "one hundred twenty trillion, two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".