100101100100111 has 16 divisors (see below), whose sum is σ = 110429007091200. Its totient is φ = 89977842926400.

The previous prime is 100101100100101. The next prime is 100101100100119. The reversal of 100101100100111 is 111001001101001.

It is not a de Polignac number, because 100101100100111 - 2⁶ = 100101100100047 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 (100101100100119) 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, 168305546 + ... + 168899256.

It is an arithmetic number, because the mean of its divisors is an integer number (6901812943200).

Almost surely, 2^{100101100100111} is an apocalyptic number.

100101100100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101100100111 is a deficient number, since it is larger than the sum of its proper divisors (10327906991089).

100101100100111 is a wasteful number, since it uses less digits than its factorization.

100101100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766030.

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

Adding to 100101100100111 its reverse (111001001101001), we get a palindrome (211102101201112).

The spelling of 100101100100111 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred thousand, one hundred eleven".