100111122122101 has 16 divisors (see below), whose sum is σ = 106283060833600. Its totient is φ = 94031338382208.

The previous prime is 100111122122021. The next prime is 100111122122119. The reversal of 100111122122101 is 101221221111001.

It is a cyclic number.

It is not a de Polignac number, because 100111122122101 - 2¹³ = 100111122113909 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 (100111122120101) 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 15 ways as a sum of consecutive naturals, for example, 23921256 + ... + 27792961.

It is an arithmetic number, because the mean of its divisors is an integer number (6642691302100).

Almost surely, 2^{100111122122101} is an apocalyptic number.

It is an amenable number.

100111122122101 is a deficient number, since it is larger than the sum of its proper divisors (6171938711499).

100111122122101 is a wasteful number, since it uses less digits than its factorization.

100111122122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51715108.

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

Adding to 100111122122101 its reverse (101221221111001), we get a palindrome (201332343233102).

The spelling of 100111122122101 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred one".