100100001110110 has 32 divisors (see below), whose sum is σ = 185366802190752. Its totient is φ = 38895760888320.

The previous prime is 100100001110101. The next prime is 100100001110111. The reversal of 100100001110110 is 11011100001001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100100001110093 and 100100001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001110111) 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, 523823664 + ... + 524014723.

It is an arithmetic number, because the mean of its divisors is an integer number (5792712568461).

Almost surely, 2^{100100001110110} is an apocalyptic number.

100100001110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100001110110 is a deficient number, since it is larger than the sum of its proper divisors (85266801080642).

100100001110110 is a wasteful number, since it uses less digits than its factorization.

100100001110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047838668.

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

Adding to 100100001110110 its reverse (11011100001001), we get a palindrome (111111101111111).

The spelling of 100100001110110 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, one hundred ten".