100101110110111 has 32 divisors (see below), whose sum is σ = 109759298199552. Its totient is φ = 90537317544960.

The previous prime is 100101110110061. The next prime is 100101110110147. The reversal of 100101110110111 is 111011011101001.

It is a happy number.

It is not a de Polignac number, because 100101110110111 - 2²³ = 100101101721503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101110120111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3608143506 + ... + 3608171248.

It is an arithmetic number, because the mean of its divisors is an integer number (3429978068736).

Almost surely, 2^{100101110110111} is an apocalyptic number.

100101110110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101110110111 is a deficient number, since it is larger than the sum of its proper divisors (9658188089441).

100101110110111 is a wasteful number, since it uses less digits than its factorization.

100101110110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30183.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100101110110111 its reverse (111011011101001), we get a palindrome (211112121211112).

The spelling of 100101110110111 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred eleven".