122313105115101 has 16 divisors (see below), whose sum is σ = 187049909854720. Its totient is φ = 78911680718880.

The previous prime is 122313105115067. The next prime is 122313105115129. The reversal of 122313105115101 is 101511501313221.

122313105115101 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 131 + 0 + 5 + 11 + 510 + 1 = 666.

It is not a de Polignac number, because 122313105115101 - 2¹³ = 122313105106909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313105115171) 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, 73066370200 + ... + 73066371873.

It is an arithmetic number, because the mean of its divisors is an integer number (11690619365920).

Almost surely, 2^{122313105115101} is an apocalyptic number.

It is an amenable number.

122313105115101 is a deficient number, since it is larger than the sum of its proper divisors (64736804739619).

122313105115101 is a wasteful number, since it uses less digits than its factorization.

122313105115101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146132742113 (or 146132742107 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 122313105115101 its reverse (101511501313221), we get a palindrome (223824606428322).

The spelling of 122313105115101 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred five million, one hundred fifteen thousand, one hundred one".