100924145302201 has 27 divisors (see below), whose sum is σ = 114246222854799. Its totient is φ = 89107629969072.

The previous prime is 100924145302181. The next prime is 100924145302207. The reversal of 100924145302201 is 102203541429001.

The square root of 100924145302201 is 10046101.

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

It can be written as a sum of positive squares in only one way, i.e., 14929607293225 + 85994538008976 = 3863885^2 + 9273324^2 .

It is not a de Polignac number, because 100924145302201 - 2⁹ = 100924145301689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100924145302207) 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, 3003767400 + ... + 3003800998.

Almost surely, 2^{100924145302201} is an apocalyptic number.

100924145302201 is the 10046101-st square number.

100924145302201 is the 5023051-st centered octagonal number.

It is an amenable number.

100924145302201 is a deficient number, since it is larger than the sum of its proper divisors (13322077552598).

100924145302201 is an frugal number, since it uses more digits than its factorization.

100924145302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67270 (or 33635 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 100924145302201 in words is "one hundred trillion, nine hundred twenty-four billion, one hundred forty-five million, three hundred two thousand, two hundred one".