100017100731025 has 27 divisors (see below), whose sum is σ = 124342663715409. Its totient is φ = 79806822900000.

The previous prime is 100017100731019. The next prime is 100017100731029. The reversal of 100017100731025 is 520137001710001.

The square root of 100017100731025 is 10000855.

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 57279815765649 + 42737284965376 = 7568343^2 + 6537376^2 .

It is not a de Polignac number, because 100017100731025 - 2¹¹ = 100017100728977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100017100730984 and 100017100731002.

It is not an unprimeable number, because it can be changed into a prime (100017100731029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21051797400 + ... + 21051802150.

Almost surely, 2^{100017100731025} is an apocalyptic number.

100017100731025 is the 10000855-th square number.

100017100731025 is the 5000428-th centered octagonal number.

It is an amenable number.

100017100731025 is a deficient number, since it is larger than the sum of its proper divisors (24325562984384).

100017100731025 is an frugal number, since it uses more digits than its factorization.

100017100731025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The spelling of 100017100731025 in words is "one hundred trillion, seventeen billion, one hundred million, seven hundred thirty-one thousand, twenty-five".