10101100000011 has 16 divisors (see below), whose sum is σ = 13845076423200. Its totient is φ = 6545935634688.

The previous prime is 10101100000007. The next prime is 10101100000027. The reversal of 10101100000011 is 11000000110101.

It is not a de Polignac number, because 10101100000011 - 2² = 10101100000007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101100000051) 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 15 ways as a sum of consecutive naturals, for example, 42444906 + ... + 42682223.

It is an arithmetic number, because the mean of its divisors is an integer number (865317276450).

Almost surely, 2^{10101100000011} is an apocalyptic number.

10101100000011 is a deficient number, since it is larger than the sum of its proper divisors (3743976423189).

10101100000011 is a wasteful number, since it uses less digits than its factorization.

10101100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85128238.

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

Adding to 10101100000011 its reverse (11000000110101), we get a palindrome (21101100110112).

The spelling of 10101100000011 in words is "ten trillion, one hundred one billion, one hundred million, eleven", and thus it is an aban number.