1000110001110 has 192 divisors, whose sum is σ = 2721631885056. Its totient is φ = 234851823360.

The previous prime is 1000110001091. The next prime is 1000110001133. The reversal of 1000110001110 is 111000110001.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 30471969 + ... + 30504771.

It is an arithmetic number, because the mean of its divisors is an integer number (14175166068).

Almost surely, 2^{1000110001110} is an apocalyptic number.

1000110001110 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 1000110001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360815942528).

1000110001110 is an abundant number, since it is smaller than the sum of its proper divisors (1721521883946).

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

1000110001110 is a wasteful number, since it uses less digits than its factorization.

1000110001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33099 (or 33088 counting only the distinct ones).

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

Adding to 1000110001110 its reverse (111000110001), we get a palindrome (1111110111111).

The spelling of 1000110001110 in words is "one trillion, one hundred ten million, one thousand, one hundred ten".