111010100000000 has 324 divisors, whose sum is σ = 277619570749332. Its totient is φ = 44302080000000.

The previous prime is 111010099999969. The next prime is 111010100000017. The reversal of 111010100000000 is 1010111.

It can be written as a sum of positive squares in 18 ways, for example, as 1020681842944 + 109989418157056 = 1010288^2 + 10487584^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a self number, because there is not a number n which added to its sum of digits gives 111010100000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55699999004 + ... + 55700000996.

Almost surely, 2^{111010100000000} is an apocalyptic number.

111010100000000 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 111010100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138809785374666).

111010100000000 is an abundant number, since it is smaller than the sum of its proper divisors (166609470749332).

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

111010100000000 is an frugal number, since it uses more digits than its factorization.

111010100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 111010100000000 its reverse (1010111), we get a palindrome (111010101010111).

The spelling of 111010100000000 in words is "one hundred eleven trillion, ten billion, one hundred million", and thus it is an aban number.