122100120120121 has 16 divisors (see below), whose sum is σ = 143447166652608. Its totient is φ = 102461016628800.

The previous prime is 122100120120107. The next prime is 122100120120137. The reversal of 122100120120121 is 121021021001221.

It is a cyclic number.

It is not a de Polignac number, because 122100120120121 - 2⁹ = 122100120119609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100120120095 and 122100120120104.

It is not an unprimeable number, because it can be changed into a prime (122100120120421) 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, 21820930 + ... + 26839396.

It is an arithmetic number, because the mean of its divisors is an integer number (8965447915788).

Almost surely, 2^{122100120120121} is an apocalyptic number.

122100120120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100120120121 is a deficient number, since it is larger than the sum of its proper divisors (21347046532487).

122100120120121 is a wasteful number, since it uses less digits than its factorization.

122100120120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188632.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122100120120121 its reverse (121021021001221), we get a palindrome (243121141121342).

The spelling of 122100120120121 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty-one".