11100010400 has 72 divisors (see below), whose sum is σ = 27112600620. Its totient is φ = 4437596160.

The previous prime is 11100010367. The next prime is 11100010457. The reversal of 11100010400 is 401000111.

11100010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3121233424 + 7978776976 = 55868^2 + 89324^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2581052 + ... + 2585348.

Almost surely, 2^11100010400 is an apocalyptic number.

11100010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100010400 is an abundant number, since it is smaller than the sum of its proper divisors (16012590220).

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

11100010400 is a wasteful number, since it uses less digits than its factorization.

11100010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11100010400 its reverse (401000111), we get a palindrome (11501010511).

The spelling of 11100010400 in words is "eleven billion, one hundred million, ten thousand, four hundred".