11686210620100 has 27 divisors (see below), whose sum is σ = 25359151227501. Its totient is φ = 4674470574000.

The previous prime is 11686210620089. The next prime is 11686210620143. The reversal of 11686210620100 is 102601268611.

The square root of 11686210620100 is 3418510.

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., 4207035823236 + 7479174796864 = 2051106^2 + 2734808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34014175 + ... + 34356025.

Almost surely, 2^{11686210620100} is an apocalyptic number.

11686210620100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11686210620100 is the 3418510-th square number.

It is an amenable number.

11686210620100 is an abundant number, since it is smaller than the sum of its proper divisors (13672940607401).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11686210620100 is an frugal number, since it uses more digits than its factorization.

11686210620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683716 (or 341858 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

Adding to 11686210620100 its reverse (102601268611), we get a palindrome (11788811888711).

The spelling of 11686210620100 in words is "eleven trillion, six hundred eighty-six billion, two hundred ten million, six hundred twenty thousand, one hundred".