1111100000010 has 1024 divisors, whose sum is σ = 3963416002560. Its totient is φ = 191660359680.

The previous prime is 1111100000009. The next prime is 1111100000029. The reversal of 1111100000010 is 100000011111.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1114442832 + ... + 1114443828.

It is an arithmetic number, because the mean of its divisors is an integer number (3870523440).

Almost surely, 2^{1111100000010} is an apocalyptic number.

1111100000010 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 1111100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981708001280).

1111100000010 is an abundant number, since it is smaller than the sum of its proper divisors (2852316002550).

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

1111100000010 is a wasteful number, since it uses less digits than its factorization.

1111100000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151.

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

Adding to 1111100000010 its reverse (100000011111), we get a palindrome (1211100011121).

The spelling of 1111100000010 in words is "one trillion, one hundred eleven billion, one hundred million, ten", and thus it is an aban number.