345321054052101 has 6 divisors (see below), whose sum is σ = 498797078075270. Its totient is φ = 230214036034728.

The previous prime is 345321054052087. The next prime is 345321054052147. The reversal of 345321054052101 is 101250450123543.

345321054052101 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 1 + 0 + 540 + 5 + 2 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312925309193025 + 32395744859076 = 17689695^2 + 5691726^2 .

It is not a de Polignac number, because 345321054052101 - 2²⁵ = 345321020497669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345321054052151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19184503002886 + ... + 19184503002903.

Almost surely, 2^{345321054052101} is an apocalyptic number.

It is an amenable number.

345321054052101 is a deficient number, since it is larger than the sum of its proper divisors (153476024023169).

345321054052101 is a wasteful number, since it uses less digits than its factorization.

345321054052101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38369006005795 (or 38369006005792 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 345321054052101 in words is "three hundred forty-five trillion, three hundred twenty-one billion, fifty-four million, fifty-two thousand, one hundred one".