11187118100 has 72 divisors (see below), whose sum is σ = 24779351520. Its totient is φ = 4382385280.

The previous prime is 11187118081. The next prime is 11187118123. The reversal of 11187118100 is 181178111.

It is a super-2 number, since 2×11187118100² (a number of 21 digits) contains 22 as substring.

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, 3491099 + ... + 3494301.

It is an arithmetic number, because the mean of its divisors is an integer number (344157660).

Almost surely, 2^11187118100 is an apocalyptic number.

11187118100 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 11187118100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389675760).

11187118100 is an abundant number, since it is smaller than the sum of its proper divisors (13592233420).

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

11187118100 is a wasteful number, since it uses less digits than its factorization.

11187118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 29.

The spelling of 11187118100 in words is "eleven billion, one hundred eighty-seven million, one hundred eighteen thousand, one hundred".