100974382057201 has 9 divisors (see below), whose sum is σ = 101910356796801. Its totient is φ = 100046926330704.

The previous prime is 100974382057147. The next prime is 100974382057253. The reversal of 100974382057201 is 102750283479001.

The square root of 100974382057201 is 10048601.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6009357057201 + 94965025000000 = 2451399^2 + 9745000^2 .

It is not a de Polignac number, because 100974382057201 - 2⁹ = 100974382056689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100974382057501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1095251415 + ... + 1095343603.

Almost surely, 2^{100974382057201} is an apocalyptic number.

100974382057201 is the 10048601-st square number.

100974382057201 is the 5024301-st centered octagonal number.

It is an amenable number.

100974382057201 is a deficient number, since it is larger than the sum of its proper divisors (935974739600).

100974382057201 is an frugal number, since it uses more digits than its factorization.

100974382057201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184596 (or 92298 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 100974382057201 in words is "one hundred trillion, nine hundred seventy-four billion, three hundred eighty-two million, fifty-seven thousand, two hundred one".