100100111111111 has 16 divisors (see below), whose sum is σ = 102680219997696. Its totient is φ = 97552678860000.

The previous prime is 100100111111069. The next prime is 100100111111113. The reversal of 100100111111111 is 111111111001001.

It is a cyclic number.

It is not a de Polignac number, because 100100111111111 - 2²⁶ = 100100044002247 is a prime.

It is a Duffinian number.

100100111111111 is a modest number, since divided by 11111111 gives 1001001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100100111111092 and 100100111111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111111113) 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, 4883675 + ... + 14968316.

It is an arithmetic number, because the mean of its divisors is an integer number (6417513749856).

Almost surely, 2^{100100111111111} is an apocalyptic number.

100100111111111 is a deficient number, since it is larger than the sum of its proper divisors (2580108886585).

100100111111111 is a wasteful number, since it uses less digits than its factorization.

100100111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19852814.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100100111111111 its reverse (111111111001001), we get a palindrome (211211222112112).

It can be divided in two parts, 1001001 and 11111111, that multiplied together give a palindrome (11122233222111).

The spelling of 100100111111111 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".