345777102121 has 24 divisors (see below), whose sum is σ = 397228615560. Its totient is φ = 300374215680.

The previous prime is 345777102119. The next prime is 345777102133. The reversal of 345777102121 is 121201777543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98558323600 + 247218778521 = 313940^2 + 497211^2 .

It is not a de Polignac number, because 345777102121 - 2¹ = 345777102119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345777172121) 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 in 23 ways as a sum of consecutive naturals, for example, 167566 + ... + 848311.

It is an arithmetic number, because the mean of its divisors is an integer number (16551192315).

Almost surely, 2^345777102121 is an apocalyptic number.

It is an amenable number.

345777102121 is a deficient number, since it is larger than the sum of its proper divisors (51451513439).

345777102121 is a wasteful number, since it uses less digits than its factorization.

345777102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016025 (or 1016014 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

Adding to 345777102121 its reverse (121201777543), we get a palindrome (466978879664).

The spelling of 345777102121 in words is "three hundred forty-five billion, seven hundred seventy-seven million, one hundred two thousand, one hundred twenty-one".