314102240101 has 8 divisors (see below), whose sum is σ = 339067434104. Its totient is φ = 289251829440.

The previous prime is 314102240087. The next prime is 314102240129. The reversal of 314102240101 is 101042201413.

It can be written as a sum of positive squares in 4 ways, for example, as 69941736225 + 244160503876 = 264465^2 + 494126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314102240101 - 2¹⁵ = 314102207333 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 (314102210101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28690146 + ... + 28701091.

It is an arithmetic number, because the mean of its divisors is an integer number (42383429263).

Almost surely, 2^314102240101 is an apocalyptic number.

It is an amenable number.

314102240101 is a deficient number, since it is larger than the sum of its proper divisors (24965194003).

314102240101 is a wasteful number, since it uses less digits than its factorization.

314102240101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57391671.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 314102240101 its reverse (101042201413), we get a palindrome (415144441514).

The spelling of 314102240101 in words is "three hundred fourteen billion, one hundred two million, two hundred forty thousand, one hundred one".