100132065706401 has 16 divisors (see below), whose sum is σ = 148494710344320. Its totient is φ = 66686801286960.

The previous prime is 100132065706373. The next prime is 100132065706423. The reversal of 100132065706401 is 104607560231001.

100132065706401 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 2 + 0 + 6 + 5 + 7 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 100132065706401 - 2³¹ = 100129918222753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100132065706451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1886339190 + ... + 1886392271.

It is an arithmetic number, because the mean of its divisors is an integer number (9280919396520).

Almost surely, 2^{100132065706401} is an apocalyptic number.

It is an amenable number.

100132065706401 is a deficient number, since it is larger than the sum of its proper divisors (48362644637919).

100132065706401 is an equidigital number, since it uses as much as digits as its factorization.

100132065706401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772732453 (or 3772732447 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 100132065706401 in words is "one hundred trillion, one hundred thirty-two billion, sixty-five million, seven hundred six thousand, four hundred one".