100101110100111 has 12 divisors (see below), whose sum is σ = 144597576581640. Its totient is φ = 66730803762480.

The previous prime is 100101110100083. The next prime is 100101110100143. The reversal of 100101110100111 is 111001011101001.

It is not a de Polignac number, because 100101110100111 - 2⁷ = 100101110099983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101110100093 and 100101110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101110100611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272275896 + ... + 272643293.

It is an arithmetic number, because the mean of its divisors is an integer number (12049798048470).

Almost surely, 2^{100101110100111} is an apocalyptic number.

100101110100111 is a deficient number, since it is larger than the sum of its proper divisors (44496466481529).

100101110100111 is a wasteful number, since it uses less digits than its factorization.

100101110100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544939606 (or 544939603 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101110100111 its reverse (111001011101001), we get a palindrome (211102121201112).

It can be divided in two parts, 1001011101001 and 11, that multiplied together give a palindrome (11011122111011).

The spelling of 100101110100111 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred thousand, one hundred eleven".