11411000100 has 108 divisors (see below), whose sum is σ = 37871146404. Its totient is φ = 2863933440.

The previous prime is 11411000039. The next prime is 11411000119. The reversal of 11411000100 is 100011411.

It can be written as a sum of positive squares in 6 ways, for example, as 35497764 + 11375502336 = 5958^2 + 106656^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357609 + ... + 388208.

It is an arithmetic number, because the mean of its divisors is an integer number (350658763).

Almost surely, 2^11411000100 is an apocalyptic number.

11411000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411000100 is an abundant number, since it is smaller than the sum of its proper divisors (26460146304).

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

11411000100 is a wasteful number, since it uses less digits than its factorization.

11411000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745854 (or 745844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11411000100 its reverse (100011411), we get a palindrome (11511011511).

The spelling of 11411000100 in words is "eleven billion, four hundred eleven million, one hundred", and thus it is an aban number.