201100761 has 27 divisors (see below), whose sum is σ = 302697759. Its totient is φ = 128650032.

The previous prime is 201100759. The next prime is 201100771. The reversal of 201100761 is 167001102.

The square root of 201100761 is 14181.

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., 105452361 + 95648400 = 10269^2 + 9780^2 .

It is not a de Polignac number, because 201100761 - 2¹ = 201100759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201100771) 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, 1233666 + ... + 1233828.

Almost surely, 2^201100761 is an apocalyptic number.

201100761 is the 14181-st square number.

201100761 is the 7091-st centered octagonal number.

It is an amenable number.

201100761 is a deficient number, since it is larger than the sum of its proper divisors (101596998).

201100761 is an equidigital number, since it uses as much as digits as its factorization.

201100761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The cubic root of 201100761 is about 585.8744668919.

Adding to 201100761 its reverse (167001102), we get a palindrome (368101863).

The spelling of 201100761 in words is "two hundred one million, one hundred thousand, seven hundred sixty-one".