101249740683688 has 32 divisors (see below), whose sum is σ = 190532037737160. Its totient is φ = 50441203848960.

The previous prime is 101249740683659. The next prime is 101249740683703. The reversal of 101249740683688 is 886386047942101.

It can be written as a sum of positive squares in 4 ways, for example, as 81054765253764 + 20194975429924 = 9003042^2 + 4493882^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132874818 + ... + 133634638.

Almost surely, 2^{101249740683688} is an apocalyptic number.

It is an amenable number.

101249740683688 is a deficient number, since it is larger than the sum of its proper divisors (89282297053472).

101249740683688 is a wasteful number, since it uses less digits than its factorization.

101249740683688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820237 (or 820233 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 101249740683688 in words is "one hundred one trillion, two hundred forty-nine billion, seven hundred forty million, six hundred eighty-three thousand, six hundred eighty-eight".