121001222100121 has 20 divisors (see below), whose sum is σ = 133115305192720. Its totient is φ = 109988890011000.

The previous prime is 121001222100079. The next prime is 121001222100137.

121001222100121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121001222100121 - 2¹⁷ = 121001221969049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121001222100095 and 121001222100104.

It is not an unprimeable number, because it can be changed into a prime (121001222100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132646786 + ... + 133555876.

It is an arithmetic number, because the mean of its divisors is an integer number (6655765259636).

Almost surely, 2^{121001222100121} is an apocalyptic number.

121001222100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121001222100121 is a deficient number, since it is larger than the sum of its proper divisors (12114083092599).

121001222100121 is an frugal number, since it uses more digits than its factorization.

121001222100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918226 (or 918193 counting only the distinct ones).

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

It can be divided in two parts, 12100 and 1222100121, that added together give a palindrome (1222112221).

The spelling of 121001222100121 in words is "one hundred twenty-one trillion, one billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".