11011114111100 has 72 divisors (see below), whose sum is σ = 24021222710016. Its totient is φ = 4381020000000.

The previous prime is 11011114111091. The next prime is 11011114111157. The reversal of 11011114111100 is 111141111011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429756290 + ... + 429781910.

Almost surely, 2^{11011114111100} is an apocalyptic number.

11011114111100 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 11011114111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010611355008).

11011114111100 is an abundant number, since it is smaller than the sum of its proper divisors (13010108598916).

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

11011114111100 is a wasteful number, since it uses less digits than its factorization.

11011114111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48327 (or 48320 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11011114111100 its reverse (111141111011), we get a palindrome (11122255222111).

It can be divided in two parts, 1 and 1011114111100, that added together give a palindrome (1011114111101).

The spelling of 11011114111100 in words is "eleven trillion, eleven billion, one hundred fourteen million, one hundred eleven thousand, one hundred".