100111000101110 has 32 divisors (see below), whose sum is σ = 180290714823072. Its totient is φ = 40024199704320.

The previous prime is 100111000101089. The next prime is 100111000101143. The reversal of 100111000101110 is 11101000111001.

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 15 ways as a sum of consecutive naturals, for example, 285572957 + ... + 285923303.

It is an arithmetic number, because the mean of its divisors is an integer number (5634084838221).

Almost surely, 2^{100111000101110} is an apocalyptic number.

100111000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111000101110 is a deficient number, since it is larger than the sum of its proper divisors (80179714721962).

100111000101110 is a wasteful number, since it uses less digits than its factorization.

100111000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364688.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111000101110 its reverse (11101000111001), we get a palindrome (111212000212111).

The spelling of 100111000101110 in words is "one hundred trillion, one hundred eleven billion, one hundred one thousand, one hundred ten".