121021121120121 has 12 divisors (see below), whose sum is σ = 175309169408100. Its totient is φ = 80449570484640.

The previous prime is 121021121120099. The next prime is 121021121120149.

It is a happy number.

121021121120121 is a `hidden beast` number, since 1 + 21 + 0 + 211 + 211 + 201 + 21 = 666.

121021121120121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 81513108028521 + 39508013091600 = 9028461^2 + 6285540^2 .

It is not a de Polignac number, because 121021121120121 - 2⁹ = 121021121119609 is a prime.

It is a super-2 number, since 2×121021121120121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021121120094 and 121021121120103.

It is not an unprimeable number, because it can be changed into a prime (121021121120321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19264740750 + ... + 19264747031.

It is an arithmetic number, because the mean of its divisors is an integer number (14609097450675).

Almost surely, 2^{121021121120121} is an apocalyptic number.

It is an amenable number.

121021121120121 is a deficient number, since it is larger than the sum of its proper divisors (54288048287979).

121021121120121 is a wasteful number, since it uses less digits than its factorization.

121021121120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38529488136 (or 38529488133 counting only the distinct ones).

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

The spelling of 121021121120121 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".