122110122001101 has 64 divisors (see below), whose sum is σ = 177822757728000. Its totient is φ = 74084718090240.

The previous prime is 122110122001081. The next prime is 122110122001207. The reversal of 122110122001101 is 101100221011221.

It is a happy number.

It is not a de Polignac number, because 122110122001101 - 2¹³ = 122110121992909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110122002101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2950853431 + ... + 2950894811.

It is an arithmetic number, because the mean of its divisors is an integer number (2778480589500).

Almost surely, 2^{122110122001101} is an apocalyptic number.

It is an amenable number.

122110122001101 is a deficient number, since it is larger than the sum of its proper divisors (55712635726899).

122110122001101 is a wasteful number, since it uses less digits than its factorization.

122110122001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43934.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122110122001101 its reverse (101100221011221), we get a palindrome (223210343012322).

The spelling of 122110122001101 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty-two million, one thousand, one hundred one".