122100121001221 has 96 divisors (see below), whose sum is σ = 145684449187200. Its totient is φ = 101939067648000.

The previous prime is 122100121001197. The next prime is 122100121001233.

122100121001221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122100121001221 - 2²⁵ = 122100087446789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100121001195 and 122100121001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100121001281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2322195910 + ... + 2322248488.

It is an arithmetic number, because the mean of its divisors is an integer number (1517546345700).

Almost surely, 2^{122100121001221} is an apocalyptic number.

122100121001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100121001221 is a deficient number, since it is larger than the sum of its proper divisors (23584328185979).

122100121001221 is a wasteful number, since it uses less digits than its factorization.

122100121001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52931 (or 52920 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, 1221001 and 21001221, that added together give a palindrome (22222222).

The spelling of 122100121001221 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-one million, one thousand, two hundred twenty-one".