111012300100 has 144 divisors (see below), whose sum is σ = 279873368208. Its totient is φ = 37849743360.

The previous prime is 111012300041. The next prime is 111012300101. The reversal of 111012300100 is 1003210111.

It can be written as a sum of positive squares in 24 ways, for example, as 84166132996 + 26846167104 = 290114^2 + 163848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111012300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123912 + ... + 1218688.

It is an arithmetic number, because the mean of its divisors is an integer number (1943565057).

Almost surely, 2^111012300100 is an apocalyptic number.

111012300100 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 111012300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139936684104).

111012300100 is an abundant number, since it is smaller than the sum of its proper divisors (168861068108).

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

111012300100 is a wasteful number, since it uses less digits than its factorization.

111012300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94874 (or 94867 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 111012300100 its reverse (1003210111), we get a palindrome (112015510211).

The spelling of 111012300100 in words is "one hundred eleven billion, twelve million, three hundred thousand, one hundred".