100047785707321 has 9 divisors (see below), whose sum is σ = 100470547868133. Its totient is φ = 99626795156700.

The previous prime is 100047785707319. The next prime is 100047785707391. The reversal of 100047785707321 is 123707587740001.

The square root of 100047785707321 is 10002389.

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

It is not a de Polignac number, because 100047785707321 - 2¹ = 100047785707319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100047785707391) 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, 2390550046 + ... + 2390591896.

Almost surely, 2^{100047785707321} is an apocalyptic number.

100047785707321 is the 10002389-th square number.

100047785707321 is the 5001195-th centered octagonal number.

It is an amenable number.

100047785707321 is a deficient number, since it is larger than the sum of its proper divisors (422762160812).

100047785707321 is an frugal number, since it uses more digits than its factorization.

100047785707321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84180 (or 42090 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 52.

The spelling of 100047785707321 in words is "one hundred trillion, forty-seven billion, seven hundred eighty-five million, seven hundred seven thousand, three hundred twenty-one".