100001110000011 has 64 divisors (see below), whose sum is σ = 150696140906496. Its totient is φ = 58453893388800.

The previous prime is 100001110000009. The next prime is 100001110000013. The reversal of 100001110000011 is 110000011100001.

It is an interprime number because it is at equal distance from previous prime (100001110000009) and next prime (100001110000013).

It is not a de Polignac number, because 100001110000011 - 2¹ = 100001110000009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001110000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80084886 + ... + 81323988.

It is an arithmetic number, because the mean of its divisors is an integer number (2354627201664).

Almost surely, 2^{100001110000011} is an apocalyptic number.

100001110000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001110000011 is a deficient number, since it is larger than the sum of its proper divisors (50695030906485).

100001110000011 is a wasteful number, since it uses less digits than its factorization.

100001110000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239732.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001110000011 its reverse (110000011100001), we get a palindrome (210001121100012).

It can be divided in two parts, 100001 and 110000011, that multiplied together give a palindrome (11000111100011).

The spelling of 100001110000011 in words is "one hundred trillion, one billion, one hundred ten million, eleven", and thus it is an aban number.