100281177374401 has 9 divisors (see below), whose sum is σ = 101284912385353. Its totient is φ = 99287293025200.

The previous prime is 100281177374321. The next prime is 100281177374471. The reversal of 100281177374401 is 104473771182001.

The square root of 100281177374401 is 10014049.

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 63775413374401 + 36505764000000 = 7985951^2 + 6042000^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100281177374401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100281177374471) 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, 1011369375 + ... + 1011468523.

Almost surely, 2^{100281177374401} is an apocalyptic number.

100281177374401 is the 10014049-th square number.

100281177374401 is the 5007025-th centered octagonal number.

It is an amenable number.

100281177374401 is a deficient number, since it is larger than the sum of its proper divisors (1003735010952).

100281177374401 is an frugal number, since it uses more digits than its factorization.

100281177374401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198500 (or 99250 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 46.

The spelling of 100281177374401 in words is "one hundred trillion, two hundred eighty-one billion, one hundred seventy-seven million, three hundred seventy-four thousand, four hundred one".