100100101000011 has 64 divisors (see below), whose sum is σ = 154672853529600. Its totient is φ = 56402816601600.

The previous prime is 100100100999991. The next prime is 100100101000051. The reversal of 100100101000011 is 110000101001001.

It is not a de Polignac number, because 100100101000011 - 2³⁵ = 100065741261643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100101000051) 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, 612087625 + ... + 612251141.

It is an arithmetic number, because the mean of its divisors is an integer number (2416763336400).

Almost surely, 2^{100100101000011} is an apocalyptic number.

100100101000011 is a deficient number, since it is larger than the sum of its proper divisors (54572752529589).

100100101000011 is a wasteful number, since it uses less digits than its factorization.

100100101000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164804.

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

Adding to 100100101000011 its reverse (110000101001001), we get a palindrome (210100202001012).

The spelling of 100100101000011 in words is "one hundred trillion, one hundred billion, one hundred one million, eleven", and thus it is an aban number.