11101217758801 has 27 divisors (see below), whose sum is σ = 11993857613787. Its totient is φ = 10273823028480.

The previous prime is 11101217758783. The next prime is 11101217758811. The reversal of 11101217758801 is 10885771210111.

The square root of 11101217758801 is 3331849.

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., 10640480900625 + 460736858176 = 3261975^2 + 678776^2 .

It is not a de Polignac number, because 11101217758801 - 2²⁷ = 11101083541073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11101217758811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2375606001 + ... + 2375610673.

Almost surely, 2^{11101217758801} is an apocalyptic number.

11101217758801 is the 3331849-th square number.

11101217758801 is the 1665925-th centered octagonal number.

It is an amenable number.

11101217758801 is a deficient number, since it is larger than the sum of its proper divisors (892639854986).

11101217758801 is an frugal number, since it uses more digits than its factorization.

11101217758801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9454 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 43.

Adding to 11101217758801 its reverse (10885771210111), we get a palindrome (21986988968912).

The spelling of 11101217758801 in words is "eleven trillion, one hundred one billion, two hundred seventeen million, seven hundred fifty-eight thousand, eight hundred one".