122102122102101 has 24 divisors (see below), whose sum is σ = 178235269590456. Its totient is φ = 80541477014400.

The previous prime is 122102122102049. The next prime is 122102122102117. The reversal of 122102122102101 is 101201221201221.

122102122102101 is a `hidden beast` number, since 1 + 2 + 210 + 21 + 221 + 0 + 210 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85040691506001 + 37061430596100 = 9221751^2 + 6087810^2 .

It is not a de Polignac number, because 122102122102101 - 2¹³ = 122102122093909 is a prime.

It is a super-2 number, since 2×122102122102101² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102122102141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43628050 + ... + 46342323.

It is an arithmetic number, because the mean of its divisors is an integer number (7426469566269).

Almost surely, 2^{122102122102101} is an apocalyptic number.

It is an amenable number.

122102122102101 is a deficient number, since it is larger than the sum of its proper divisors (56133147488355).

122102122102101 is a wasteful number, since it uses less digits than its factorization.

122102122102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89971973 (or 89971970 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122102122102101 its reverse (101201221201221), we get a palindrome (223303343303322).

The spelling of 122102122102101 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, one hundred one".