1000100001110 has 64 divisors (see below), whose sum is σ = 2180070277632. Its totient is φ = 322469316096.

The previous prime is 1000100001041. The next prime is 1000100001133. The reversal of 1000100001110 is 111000010001.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100001094 and 1000100001103.

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 31 ways as a sum of consecutive naturals, for example, 1199249 + ... + 1854291.

It is an arithmetic number, because the mean of its divisors is an integer number (34063598088).

Almost surely, 2^{1000100001110} is an apocalyptic number.

1000100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000100001110 is an abundant number, since it is smaller than the sum of its proper divisors (1179970276522).

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

1000100001110 is a wasteful number, since it uses less digits than its factorization.

1000100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656357.

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

Adding to 1000100001110 its reverse (111000010001), we get a palindrome (1111100011111).

The spelling of 1000100001110 in words is "one trillion, one hundred million, one thousand, one hundred ten".