100111000001110 has 32 divisors (see below), whose sum is σ = 212585939177472. Its totient is φ = 33216552995040.

The previous prime is 100111000001059. The next prime is 100111000001137. The reversal of 100111000001110 is 11100000111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100111000001093 and 100111000001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23067048522 + ... + 23067052861.

It is an arithmetic number, because the mean of its divisors is an integer number (6643310599296).

Almost surely, 2^{100111000001110} is an apocalyptic number.

100111000001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111000001110 is an abundant number, since it is smaller than the sum of its proper divisors (112474939176362).

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

100111000001110 is a wasteful number, since it uses less digits than its factorization.

100111000001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46134101428.

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

Adding to 100111000001110 its reverse (11100000111001), we get a palindrome (111211000112111).

The spelling of 100111000001110 in words is "one hundred trillion, one hundred eleven billion, one thousand, one hundred ten".