11110111110100 has 144 divisors (see below), whose sum is σ = 24504179725872. Its totient is φ = 4371840000000.

The previous prime is 11110111110041. The next prime is 11110111110173. The reversal of 11110111110100 is 101111101111.

It is a happy number.

11110111110100 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 24 ways, for example, as 982326783376 + 10127784326724 = 991124^2 + 3182418^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122115150 + ... + 1122125050.

It is an arithmetic number, because the mean of its divisors is an integer number (170167914763).

Almost surely, 2^{11110111110100} is an apocalyptic number.

11110111110100 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 11110111110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252089862936).

11110111110100 is an abundant number, since it is smaller than the sum of its proper divisors (13394068615772).

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

11110111110100 is a wasteful number, since it uses less digits than its factorization.

11110111110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10718 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11110111110100 its reverse (101111101111), we get a palindrome (11211222211211).

It can be divided in two parts, 111101 and 11110100, that multiplied together give a square (1234343220100 = 1111010²).

The spelling of 11110111110100 in words is "eleven trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, one hundred".