101000001000011 has 4 divisors (see below), whose sum is σ = 102711865423800. Its totient is φ = 99288136576224.

The previous prime is 101000000999957. The next prime is 101000001000047. The reversal of 101000001000011 is 110000100000101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101000001000011 - 2¹⁰ = 101000000998987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000000999959 and 101000001000004.

It is not an unprimeable number, because it can be changed into a prime (101000001000091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 855932211806 + ... + 855932211923.

It is an arithmetic number, because the mean of its divisors is an integer number (25677966355950).

Almost surely, 2^{101000001000011} is an apocalyptic number.

101000001000011 is a deficient number, since it is larger than the sum of its proper divisors (1711864423789).

101000001000011 is an equidigital number, since it uses as much as digits as its factorization.

101000001000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711864423788.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000001000011 its reverse (110000100000101), we get a palindrome (211000101000112).

The spelling of 101000001000011 in words is "one hundred one trillion, one million, eleven", and thus it is an aban number.