11000212414401 has 64 divisors (see below), whose sum is σ = 17103265505280. Its totient is φ = 6159181317120.

The previous prime is 11000212414349. The next prime is 11000212414403. The reversal of 11000212414401 is 10441421200011.

It is not a de Polignac number, because 11000212414401 - 2⁹ = 11000212413889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11000212414403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1391195290 + ... + 1391203196.

It is an arithmetic number, because the mean of its divisors is an integer number (267238523520).

Almost surely, 2^{11000212414401} is an apocalyptic number.

It is an amenable number.

11000212414401 is a deficient number, since it is larger than the sum of its proper divisors (6103053090879).

11000212414401 is a wasteful number, since it uses less digits than its factorization.

11000212414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11000212414401 its reverse (10441421200011), we get a palindrome (21441633614412).

The spelling of 11000212414401 in words is "eleven trillion, two hundred twelve million, four hundred fourteen thousand, four hundred one".