100451648846601 has 40 divisors (see below), whose sum is σ = 161601618953544. Its totient is φ = 61815886490880.

The previous prime is 100451648846599. The next prime is 100451648846623. The reversal of 100451648846601 is 106648846154001.

100451648846601 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 516 + 4 + 88 + 46 + 6 + 0 + 1 = 666.

100451648846601 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 410624640000 + 100041024206601 = 640800^2 + 10002051^2 .

It is not a de Polignac number, because 100451648846601 - 2¹ = 100451648846599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100451648806601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155902635 + ... + 156545631.

Almost surely, 2^{100451648846601} is an apocalyptic number.

It is an amenable number.

100451648846601 is a deficient number, since it is larger than the sum of its proper divisors (61149970106943).

100451648846601 is a wasteful number, since it uses less digits than its factorization.

100451648846601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791383 (or 791374 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 100451648846601 in words is "one hundred trillion, four hundred fifty-one billion, six hundred forty-eight million, eight hundred forty-six thousand, six hundred one".