111111121121100 has 36 divisors (see below), whose sum is σ = 321481510444584. Its totient is φ = 29629632298880.

The previous prime is 111111121121093. The next prime is 111111121121107. The reversal of 111111121121100 is 1121121111111.

It is a happy number.

111111121121100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111111121121093) and next prime (111111121121107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111111121121100.

It is not an unprimeable number, because it can be changed into a prime (111111121121107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185185201569 + ... + 185185202168.

It is an arithmetic number, because the mean of its divisors is an integer number (8930041956794).

Almost surely, 2^{111111121121100} is an apocalyptic number.

111111121121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111111121121100 is an abundant number, since it is smaller than the sum of its proper divisors (210370389323484).

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

111111121121100 is a wasteful number, since it uses less digits than its factorization.

111111121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370370403754 (or 370370403747 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 111111121121100 its reverse (1121121111111), we get a palindrome (112232242232211).

The spelling of 111111121121100 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".