122100110121121 has 16 divisors (see below), whose sum is σ = 133223922773568. Its totient is φ = 110980266342400.

The previous prime is 122100110121109. The next prime is 122100110121161. The reversal of 122100110121121 is 121121011001221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122100110121121 is a prime.

It is a super-2 number, since 2×122100110121121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100110121095 and 122100110121104.

It is not an unprimeable number, because it can be changed into a prime (122100110121161) 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, 2145051741 + ... + 2145108661.

It is an arithmetic number, because the mean of its divisors is an integer number (8326495173348).

Almost surely, 2^{122100110121121} is an apocalyptic number.

122100110121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100110121121 is a deficient number, since it is larger than the sum of its proper divisors (11123812652447).

122100110121121 is a wasteful number, since it uses less digits than its factorization.

122100110121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88352.

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

Adding to 122100110121121 its reverse (121121011001221), we get a palindrome (243221121122342).

The spelling of 122100110121121 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-one".