12102181634761 has 9 divisors (see below), whose sum is σ = 12651324558439. Its totient is φ = 11575923290536.

The previous prime is 12102181634677. The next prime is 12102181634771. The reversal of 12102181634761 is 16743618120121.

The square root of 12102181634761 is 3478819.

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., 10456718679225 + 1645462955536 = 3233685^2 + 1282756^2 .

It is not a de Polignac number, because 12102181634761 - 2⁴¹ = 9903158379209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102181634771) 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, 79937211 + ... + 80088463.

Almost surely, 2^{12102181634761} is an apocalyptic number.

12102181634761 is the 3478819-th square number.

12102181634761 is the 1739410-th centered octagonal number.

It is an amenable number.

12102181634761 is a deficient number, since it is larger than the sum of its proper divisors (549142923678).

12102181634761 is an frugal number, since it uses more digits than its factorization.

12102181634761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302552 (or 151276 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

Adding to 12102181634761 its reverse (16743618120121), we get a palindrome (28845799754882).

The spelling of 12102181634761 in words is "twelve trillion, one hundred two billion, one hundred eighty-one million, six hundred thirty-four thousand, seven hundred sixty-one".