111001110100000 has 72 divisors (see below), whose sum is σ = 273149311957956. Its totient is φ = 44400444000000.

The previous prime is 111001110099991. The next prime is 111001110100093. The reversal of 111001110100000 is 1011100111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31516681616784 + 79484428483216 = 5613972^2 + 8915404^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554905551 + ... + 555105550.

Almost surely, 2^{111001110100000} is an apocalyptic number.

111001110100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001110100000 is an abundant number, since it is smaller than the sum of its proper divisors (162148201857956).

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

111001110100000 is an frugal number, since it uses more digits than its factorization.

111001110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110011136 (or 1110011108 counting only the distinct ones).

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

Adding to 111001110100000 its reverse (1011100111), we get a palindrome (111002121200111).

The spelling of 111001110100000 in words is "one hundred eleven trillion, one billion, one hundred ten million, one hundred thousand".