100010100111111 has 8 divisors (see below), whose sum is σ = 148163111275760. Its totient is φ = 66673400074056.

The previous prime is 100010100111109. The next prime is 100010100111133. The reversal of 100010100111111 is 111111001010001.

It is not a de Polignac number, because 100010100111111 - 2¹ = 100010100111109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010100111093 and 100010100111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100111611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1852038890920 + ... + 1852038890973.

It is an arithmetic number, because the mean of its divisors is an integer number (18520388909470).

Almost surely, 2^{100010100111111} is an apocalyptic number.

100010100111111 is a deficient number, since it is larger than the sum of its proper divisors (48153011164649).

100010100111111 is an equidigital number, since it uses as much as digits as its factorization.

100010100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704077781902 (or 3704077781896 counting only the distinct ones).

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

Adding to 100010100111111 its reverse (111111001010001), we get a palindrome (211121101121112).

The spelling of 100010100111111 in words is "one hundred trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred eleven".