122120100101121 has 16 divisors (see below), whose sum is σ = 165385450129536. Its totient is φ = 80138509474176.

The previous prime is 122120100101059. The next prime is 122120100101179. The reversal of 122120100101121 is 121101001021221.

It is a happy number.

It is not a de Polignac number, because 122120100101121 - 2⁶ = 122120100101057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122120100101121.

It is not an unprimeable number, because it can be changed into a prime (122120100121121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 554190070 + ... + 554410383.

It is an arithmetic number, because the mean of its divisors is an integer number (10336590633096).

Almost surely, 2^{122120100101121} is an apocalyptic number.

It is an amenable number.

122120100101121 is a deficient number, since it is larger than the sum of its proper divisors (43265350028415).

122120100101121 is a wasteful number, since it uses less digits than its factorization.

122120100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108601032.

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

Adding to 122120100101121 its reverse (121101001021221), we get a palindrome (243221101122342).

The spelling of 122120100101121 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, one hundred one thousand, one hundred twenty-one".