101993675684456 has 16 divisors (see below), whose sum is σ = 197832560595300. Its totient is φ = 49238326192384.

The previous prime is 101993675684401. The next prime is 101993675684533. The reversal of 101993675684456 is 654486576399101.

It can be written as a sum of positive squares in 2 ways, for example, as 101912376567556 + 81299116900 = 10095166^2 + 285130^2 .

It is a super-2 number, since 2×101993675684456² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219813955985 + ... + 219813956448.

Almost surely, 2^{101993675684456} is an apocalyptic number.

It is an amenable number.

101993675684456 is a deficient number, since it is larger than the sum of its proper divisors (95838884910844).

101993675684456 is a wasteful number, since it uses less digits than its factorization.

101993675684456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439627912468 (or 439627912464 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 74.

The spelling of 101993675684456 in words is "one hundred one trillion, nine hundred ninety-three billion, six hundred seventy-five million, six hundred eighty-four thousand, four hundred fifty-six".