111100001000010 has 128 divisors (see below), whose sum is σ = 298753156583424. Its totient is φ = 26204394044160.

The previous prime is 111100001000003. The next prime is 111100001000059. The reversal of 111100001000010 is 10000100001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

111100001000010 is a modest number, since divided by 1000010 gives 11110 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343708687 + ... + 344031773.

It is an arithmetic number, because the mean of its divisors is an integer number (2334009035808).

Almost surely, 2^{111100001000010} is an apocalyptic number.

111100001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100001000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149376578291712).

111100001000010 is an abundant number, since it is smaller than the sum of its proper divisors (187653155583414).

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

111100001000010 is a wasteful number, since it uses less digits than its factorization.

111100001000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351308.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100001000010 its reverse (10000100001111), we get a palindrome (121100101001121).

The spelling of 111100001000010 in words is "one hundred eleven trillion, one hundred billion, one million, ten", and thus it is an aban number.