122110121201101 has 24 divisors (see below), whose sum is σ = 135815440584600. Its totient is φ = 109694161104000.

The previous prime is 122110121201093. The next prime is 122110121201137. The reversal of 122110121201101 is 101102121011221.

It can be written as a sum of positive squares in 4 ways, for example, as 89289837448900 + 32820283752201 = 9449330^2 + 5728899^2 .

It is not a de Polignac number, because 122110121201101 - 2³ = 122110121201093 is a prime.

It is a super-2 number, since 2×122110121201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110121201161) 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 23 ways as a sum of consecutive naturals, for example, 3594666 + ... + 16035643.

It is an arithmetic number, because the mean of its divisors is an integer number (5658976691025).

Almost surely, 2^{122110121201101} is an apocalyptic number.

122110121201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122110121201101 is a deficient number, since it is larger than the sum of its proper divisors (13705319383499).

122110121201101 is a wasteful number, since it uses less digits than its factorization.

122110121201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19630941 (or 19630930 counting only the distinct ones).

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

Adding to 122110121201101 its reverse (101102121011221), we get a palindrome (223212242212322).

The spelling of 122110121201101 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty-one million, two hundred one thousand, one hundred one".