111121100000010 has 48 divisors (see below), whose sum is σ = 288923569238304. Its totient is φ = 29631400078176.

The previous prime is 111121099999981. The next prime is 111121100000017. The reversal of 111121100000010 is 10000001121111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111121099999938 and 111121100000001.

It is not an unprimeable number, because it can be changed into a prime (111121100000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15604612 + ... + 21581151.

It is an arithmetic number, because the mean of its divisors is an integer number (6019241025798).

Almost surely, 2^{111121100000010} is an apocalyptic number.

111121100000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111121100000010 is an abundant number, since it is smaller than the sum of its proper divisors (177802469238294).

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

111121100000010 is a wasteful number, since it uses less digits than its factorization.

111121100000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37218979 (or 37218976 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111121100000010 its reverse (10000001121111), we get a palindrome (121121101121121).

The spelling of 111121100000010 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred million, ten", and thus it is an aban number.