100100000111110 has 32 divisors (see below), whose sum is σ = 182029710546720. Its totient is φ = 39629635544832.

The previous prime is 100100000111077. The next prime is 100100000111117. The reversal of 100100000111110 is 11111000001001.

It is a happy number.

100100000111110 is a modest number, since divided by 111110 gives 10010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100100000111093 and 100100000111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100000111117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41465865 + ... + 43813444.

It is an arithmetic number, because the mean of its divisors is an integer number (5688428454585).

Almost surely, 2^{100100000111110} is an apocalyptic number.

100100000111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100000111110 is a deficient number, since it is larger than the sum of its proper divisors (81929710435610).

100100000111110 is a wasteful number, since it uses less digits than its factorization.

100100000111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85280520.

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

Adding to 100100000111110 its reverse (11111000001001), we get a palindrome (111211000112111).

The spelling of 100100000111110 in words is "one hundred trillion, one hundred billion, one hundred eleven thousand, one hundred ten".