345585272101 has 2 divisors, whose sum is σ = 345585272102. Its totient is φ = 345585272100.

The previous prime is 345585272059. The next prime is 345585272119. The reversal of 345585272101 is 101272585543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197136888001 + 148448384100 = 444001^2 + 385290^2 .

It is an emirp because it is prime and its reverse (101272585543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 345585272101 - 2⁹ = 345585271589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345585272161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172792636050 + 172792636051.

It is an arithmetic number, because the mean of its divisors is an integer number (172792636051).

Almost surely, 2^345585272101 is an apocalyptic number.

It is an amenable number.

345585272101 is a deficient number, since it is larger than the sum of its proper divisors (1).

345585272101 is an equidigital number, since it uses as much as digits as its factorization.

345585272101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 345585272101 in words is "three hundred forty-five billion, five hundred eighty-five million, two hundred seventy-two thousand, one hundred one".