121101222101121 has 48 divisors (see below), whose sum is σ = 179996535264000. Its totient is φ = 78401494681344.

The previous prime is 121101222101099. The next prime is 121101222101221.

It is a happy number.

121101222101121 is a `hidden beast` number, since 1 + 211 + 0 + 122 + 210 + 1 + 121 = 666.

121101222101121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121101222101121 - 2¹⁴ = 121101222084737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121101222101094 and 121101222101103.

It is not an unprimeable number, because it can be changed into a prime (121101222101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362773530 + ... + 363107196.

It is an arithmetic number, because the mean of its divisors is an integer number (3749927818000).

Almost surely, 2^{121101222101121} is an apocalyptic number.

It is an amenable number.

121101222101121 is a deficient number, since it is larger than the sum of its proper divisors (58895313162879).

121101222101121 is a wasteful number, since it uses less digits than its factorization.

121101222101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335798 (or 335795 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

It can be divided in two parts, 121101 and 222101121, that added together give a palindrome (222222222).

The spelling of 121101222101121 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-one".