100011100210011 has 96 divisors (see below), whose sum is σ = 152978794841600. Its totient is φ = 64552397981760.

The previous prime is 100011100209953. The next prime is 100011100210013. The reversal of 100011100210011 is 110012001110001.

It is not a de Polignac number, because 100011100210011 - 2¹⁹ = 100011099685723 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 = 100011100209975 and 100011100210002.

It is not an unprimeable number, because it can be changed into a prime (100011100210013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4731107280 + ... + 4731128418.

Almost surely, 2^{100011100210011} is an apocalyptic number.

100011100210011 is a deficient number, since it is larger than the sum of its proper divisors (52967694631589).

100011100210011 is a wasteful number, since it uses less digits than its factorization.

100011100210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21646 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011100210011 its reverse (110012001110001), we get a palindrome (210023101320012).

The spelling of 100011100210011 in words is "one hundred trillion, eleven billion, one hundred million, two hundred ten thousand, eleven".