10045090021201 has 9 divisors (see below), whose sum is σ = 10081858749403. Its totient is φ = 10008454938160.

The previous prime is 10045090021193. The next prime is 10045090021231. The reversal of 10045090021201 is 10212009054001.

It is a happy number.

The square root of 10045090021201 is 3169399.

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., 6788364491601 + 3256725529600 = 2605449^2 + 1804640^2 .

It is not a de Polignac number, because 10045090021201 - 2³ = 10045090021193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10045090021231) 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, 890595480 + ... + 890606758.

Almost surely, 2^{10045090021201} is an apocalyptic number.

10045090021201 is the 3169399-th square number.

10045090021201 is the 1584700-th centered octagonal number.

It is an amenable number.

10045090021201 is a deficient number, since it is larger than the sum of its proper divisors (36768728202).

10045090021201 is an frugal number, since it uses more digits than its factorization.

10045090021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23120 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 10045090021201 by its sum of digits (25), we get a square (251127250530025 = 15846995²).

Adding to 10045090021201 its reverse (10212009054001), we get a palindrome (20257099075202).

The spelling of 10045090021201 in words is "ten trillion, forty-five billion, ninety million, twenty-one thousand, two hundred one".