121352055201 has 20 divisors (see below), whose sum is σ = 195223535892. Its totient is φ = 74678187168.

The previous prime is 121352055109. The next prime is 121352055203. The reversal of 121352055201 is 102550253121.

121352055201 is a `hidden beast` number, since 1 + 2 + 135 + 2 + 0 + 5 + 520 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75528230976 + 45823824225 = 274824^2 + 214065^2 .

It is not a de Polignac number, because 121352055201 - 2⁹ = 121352054689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121352055203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57621006 + ... + 57623111.

Almost surely, 2^121352055201 is an apocalyptic number.

It is an amenable number.

121352055201 is a deficient number, since it is larger than the sum of its proper divisors (73871480691).

121352055201 is a wasteful number, since it uses less digits than its factorization.

121352055201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115244142 (or 115244133 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

It can be divided in two parts, 121352055 and 201, that added together give a square (121352256 = 11016²).

The spelling of 121352055201 in words is "one hundred twenty-one billion, three hundred fifty-two million, fifty-five thousand, two hundred one".