100100101110111 has 48 divisors (see below), whose sum is σ = 149962143202560. Its totient is φ = 64274170222080.

The previous prime is 100100101110109. The next prime is 100100101110127. The reversal of 100100101110111 is 111011101001001.

It is not a de Polignac number, because 100100101110111 - 2¹ = 100100101110109 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 = 100100101110093 and 100100101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101118111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167927485 + ... + 168522521.

It is an arithmetic number, because the mean of its divisors is an integer number (3124211316720).

Almost surely, 2^{100100101110111} is an apocalyptic number.

100100101110111 is a deficient number, since it is larger than the sum of its proper divisors (49862042092449).

100100101110111 is a wasteful number, since it uses less digits than its factorization.

100100101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597936 (or 597933 counting only the distinct ones).

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

Adding to 100100101110111 its reverse (111011101001001), we get a palindrome (211111202111112).

The spelling of 100100101110111 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred eleven".