1011002000011 has 16 divisors (see below), whose sum is σ = 1071524052000. Its totient is φ = 950597227008.

The previous prime is 1011001999993. The next prime is 1011002000059. The reversal of 1011002000011 is 1100002001101.

It is a cyclic number.

It is not a de Polignac number, because 1011002000011 - 2¹⁵ = 1011001967243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001999958 and 1011002000003.

It is not an unprimeable number, because it can be changed into a prime (1011002000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122259985 + ... + 122268253.

It is an arithmetic number, because the mean of its divisors is an integer number (66970253250).

Almost surely, 2^{1011002000011} is an apocalyptic number.

1011002000011 is a deficient number, since it is larger than the sum of its proper divisors (60522051989).

1011002000011 is a wasteful number, since it uses less digits than its factorization.

1011002000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1011002000011 its reverse (1100002001101), we get a palindrome (2111004001112).

The spelling of 1011002000011 in words is "one trillion, eleven billion, two million, eleven", and thus it is an aban number and an uban number.