122122120133101 has 16 divisors (see below), whose sum is σ = 134493937507008. Its totient is φ = 109962318668800.

The previous prime is 122122120133099. The next prime is 122122120133129. The reversal of 122122120133101 is 101331021221221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122122120133101 - 2¹ = 122122120133099 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 (122122120133161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130690 + ... + 15938803.

It is an arithmetic number, because the mean of its divisors is an integer number (8405871094188).

Almost surely, 2^{122122120133101} is an apocalyptic number.

122122120133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122122120133101 is a deficient number, since it is larger than the sum of its proper divisors (12371817373907).

122122120133101 is a wasteful number, since it uses less digits than its factorization.

122122120133101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19075052.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122122120133101 its reverse (101331021221221), we get a palindrome (223453141354322).

The spelling of 122122120133101 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, one hundred one".