201218452152201 has 27 divisors (see below), whose sum is σ = 319474300399527. Its totient is φ = 121950293358960.

The previous prime is 201218452152181. The next prime is 201218452152217. The reversal of 201218452152201 is 102251254812102.

The square root of 201218452152201 is 14185149.

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

201218452152201 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 84 + 52 + 1 + 522 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169459862405625 + 31758589746576 = 13017675^2 + 5635476^2 .

It is not a de Polignac number, because 201218452152201 - 2²⁵ = 201218418597769 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (201218452192201) 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, 467894991 + ... + 468324843.

Almost surely, 2^{201218452152201} is an apocalyptic number.

201218452152201 is the 14185149-th square number.

201218452152201 is the 7092575-th centered octagonal number.

It is an amenable number.

201218452152201 is a deficient number, since it is larger than the sum of its proper divisors (118255848247326).

201218452152201 is an frugal number, since it uses more digits than its factorization.

201218452152201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859734 (or 429867 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 201218452152201 in words is "two hundred one trillion, two hundred eighteen billion, four hundred fifty-two million, one hundred fifty-two thousand, two hundred one".