122120100101101 has 8 divisors (see below), whose sum is σ = 122607014451264. Its totient is φ = 121633188768000.

The previous prime is 122120100101059. The next prime is 122120100101179. The reversal of 122120100101101 is 101101001021221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122120100101101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120100101201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 116808781 + ... + 117849613.

It is an arithmetic number, because the mean of its divisors is an integer number (15325876806408).

Almost surely, 2^{122120100101101} is an apocalyptic number.

It is an amenable number.

122120100101101 is a deficient number, since it is larger than the sum of its proper divisors (486914350163).

122120100101101 is a wasteful number, since it uses less digits than its factorization.

122120100101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508531.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122120100101101 its reverse (101101001021221), we get a palindrome (223221101122322).

The spelling of 122120100101101 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred million, one hundred one thousand, one hundred one".