342106121601243 has 24 divisors (see below), whose sum is σ = 495354217232160. Its totient is φ = 227516630100480.

The previous prime is 342106121601229. The next prime is 342106121601247.

342106121601243 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 6 + 1 + 2 + 1 + 601 + 2 + 43 = 666.

342106121601243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342106121601243 - 2⁸ = 342106121600987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342106121601198 and 342106121601207.

It is not an unprimeable number, because it can be changed into a prime (342106121601247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19422955 + ... + 32580107.

It is an arithmetic number, because the mean of its divisors is an integer number (20639759051340).

Almost surely, 2^{342106121601243} is an apocalyptic number.

342106121601243 is a deficient number, since it is larger than the sum of its proper divisors (153248095630917).

342106121601243 is a wasteful number, since it uses less digits than its factorization.

342106121601243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13164179 (or 13164176 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 342106121601243 in words is "three hundred forty-two trillion, one hundred six billion, one hundred twenty-one million, six hundred one thousand, two hundred forty-three".