10188282894601 has 16 divisors (see below), whose sum is σ = 11654660179584. Its totient is φ = 8724633853824.

The previous prime is 10188282894589. The next prime is 10188282894623. The reversal of 10188282894601 is 10649828288101.

It is a de Polignac number, because none of the positive numbers 2^k-10188282894601 is a prime.

It is a super-2 number, since 2×10188282894601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10188282814601) 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 15 ways as a sum of consecutive naturals, for example, 126088125 + ... + 126168901.

It is an arithmetic number, because the mean of its divisors is an integer number (728416261224).

Almost surely, 2^{10188282894601} is an apocalyptic number.

It is an amenable number.

10188282894601 is a deficient number, since it is larger than the sum of its proper divisors (1466377284983).

10188282894601 is a wasteful number, since it uses less digits than its factorization.

10188282894601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97440.

The product of its (nonzero) digits is 3538944, while the sum is 58.

The spelling of 10188282894601 in words is "ten trillion, one hundred eighty-eight billion, two hundred eighty-two million, eight hundred ninety-four thousand, six hundred one".