122100100113 has 16 divisors (see below), whose sum is σ = 163206127616. Its totient is φ = 81197309520.

The previous prime is 122100100079. The next prime is 122100100141. The reversal of 122100100113 is 311001001221.

It is not a de Polignac number, because 122100100113 - 2¹³ = 122100091921 is a prime.

It is a super-2 number, since 2×122100100113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100100153) 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, 2067708 + ... + 2125938.

It is an arithmetic number, because the mean of its divisors is an integer number (10200382976).

Almost surely, 2^122100100113 is an apocalyptic number.

It is an amenable number.

122100100113 is a deficient number, since it is larger than the sum of its proper divisors (41106027503).

122100100113 is a wasteful number, since it uses less digits than its factorization.

122100100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59964.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 122100100113 its reverse (311001001221), we get a palindrome (433101101334).

The spelling of 122100100113 in words is "one hundred twenty-two billion, one hundred million, one hundred thousand, one hundred thirteen".