122100121 has 16 divisors (see below), whose sum is σ = 148397760. Its totient is φ = 98925120.

The previous prime is 122100107. The next prime is 122100127. The reversal of 122100121 is 121001221.

It is a cyclic number.

It is not a de Polignac number, because 122100121 - 2⁷ = 122099993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100098 and 122100107.

It is not an unprimeable number, because it can be changed into a prime (122100127) 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, 10575 + ... + 18868.

It is an arithmetic number, because the mean of its divisors is an integer number (9274860).

Almost surely, 2^122100121 is an apocalyptic number.

122100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100121 is a deficient number, since it is larger than the sum of its proper divisors (26297639).

122100121 is a wasteful number, since it uses less digits than its factorization.

122100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29496.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122100121 is about 11049.8923524168. The cubic root of 122100121 is about 496.1032035183.

Adding to 122100121 its reverse (121001221), we get a palindrome (243101342).

It can be divided in two parts, 122100 and 121, that added together give a palindrome (122221).

The spelling of 122100121 in words is "one hundred twenty-two million, one hundred thousand, one hundred twenty-one".