121082271980121 has 9 divisors (see below), whose sum is σ = 174896662765279. Its totient is φ = 80721492645936.

The previous prime is 121082271980107. The next prime is 121082271980149. The reversal of 121082271980121 is 121089172280121.

The square root of 121082271980121 is 11003739.

It is a perfect power (a square), and thus also a powerful number.

121082271980121 is a `hidden beast` number, since 1 + 210 + 8 + 227 + 1 + 98 + 0 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19482645627225 + 101599626352896 = 4413915^2 + 10079664^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 121082271980121 - 2⁷ = 121082271979993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121082271980101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31177261 + ... + 34845173.

Almost surely, 2^{121082271980121} is an apocalyptic number.

121082271980121 is the 11003739-th square number.

121082271980121 is the 5501870-th centered octagonal number.

It is an amenable number.

121082271980121 is a deficient number, since it is larger than the sum of its proper divisors (53814390785158).

121082271980121 is an frugal number, since it uses more digits than its factorization.

121082271980121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7335832 (or 3667916 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 121082271980121 in words is "one hundred twenty-one trillion, eighty-two billion, two hundred seventy-one million, nine hundred eighty thousand, one hundred twenty-one".