11001111110100 has 864 divisors, whose sum is σ = 39110564263680. Its totient is φ = 2572484935680.

The previous prime is 11001111110083. The next prime is 11001111110117. The reversal of 11001111110100 is 101111110011.

It is an interprime number because it is at equal distance from previous prime (11001111110083) and next prime (11001111110117).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2808553342 + ... + 2808557258.

Almost surely, 2^{11001111110100} is an apocalyptic number.

11001111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555282131840).

11001111110100 is an abundant number, since it is smaller than the sum of its proper divisors (28109453153580).

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

11001111110100 is a wasteful number, since it uses less digits than its factorization.

11001111110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11001111110100 its reverse (101111110011), we get a palindrome (11102222220111).

The spelling of 11001111110100 in words is "eleven trillion, one billion, one hundred eleven million, one hundred ten thousand, one hundred".