111001110000100 has 72 divisors (see below), whose sum is σ = 241508961265320. Its totient is φ = 44283134776320.

The previous prime is 111001110000091. The next prime is 111001110000103. The reversal of 111001110000100 is 1000011100111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1428450451684 + 109572659548416 = 1195178^2 + 10467696^2 .

It is not an unprimeable number, because it can be changed into a prime (111001110000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329222406 + ... + 329559394.

It is an arithmetic number, because the mean of its divisors is an integer number (3354291128685).

Almost surely, 2^{111001110000100} is an apocalyptic number.

111001110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001110000100 is an abundant number, since it is smaller than the sum of its proper divisors (130507851265220).

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

111001110000100 is a wasteful number, since it uses less digits than its factorization.

111001110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345697 (or 345690 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111001110000100 its reverse (1000011100111), we get a palindrome (112001121100211).

The spelling of 111001110000100 in words is "one hundred eleven trillion, one billion, one hundred ten million, one hundred", and thus it is an aban number.