1000100111110 has 32 divisors (see below), whose sum is σ = 1827929076192. Its totient is φ = 393879383040.

The previous prime is 1000100111099. The next prime is 1000100111111. The reversal of 1000100111110 is 111110010001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1000100111093 and 1000100111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035624 + ... + 1752916.

It is an arithmetic number, because the mean of its divisors is an integer number (57122783631).

Almost surely, 2^{1000100111110} is an apocalyptic number.

1000100111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000100111110 is a deficient number, since it is larger than the sum of its proper divisors (827828965082).

1000100111110 is a wasteful number, since it uses less digits than its factorization.

1000100111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719448.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1000100111110 its reverse (111110010001), we get a palindrome (1111210121111).

The spelling of 1000100111110 in words is "one trillion, one hundred million, one hundred eleven thousand, one hundred ten".