100100010110111 has 64 divisors (see below), whose sum is σ = 113469152113152. Its totient is φ = 87541459200000.

The previous prime is 100100010110069. The next prime is 100100010110123. The reversal of 100100010110111 is 111011010001001.

It is a cyclic number.

It is not a de Polignac number, because 100100010110111 - 2⁶ = 100100010110047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010110131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1455521156 + ... + 1455589926.

It is an arithmetic number, because the mean of its divisors is an integer number (1772955501768).

Almost surely, 2^{100100010110111} is an apocalyptic number.

100100010110111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100010110111 is a deficient number, since it is larger than the sum of its proper divisors (13369142003041).

100100010110111 is a wasteful number, since it uses less digits than its factorization.

100100010110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69224.

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

Adding to 100100010110111 its reverse (111011010001001), we get a palindrome (211111020111112).

It can be divided in two parts, 1001000 and 10110111, that added together give a palindrome (11111111).

The spelling of 100100010110111 in words is "one hundred trillion, one hundred billion, ten million, one hundred ten thousand, one hundred eleven".