1010001000011 has 32 divisors (see below), whose sum is σ = 1122099264000. Its totient is φ = 904792508928.

The previous prime is 1010000999963. The next prime is 1010001000017. The reversal of 1010001000011 is 1100001000101.

It is not a de Polignac number, because 1010001000011 - 2⁶ = 1010000999947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010000999959 and 1010001000004.

It is not an unprimeable number, because it can be changed into a prime (1010001000017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19182920 + ... + 19235498.

It is an arithmetic number, because the mean of its divisors is an integer number (35065602000).

Almost surely, 2^{1010001000011} is an apocalyptic number.

1010001000011 is a deficient number, since it is larger than the sum of its proper divisors (112098263989).

1010001000011 is a wasteful number, since it uses less digits than its factorization.

1010001000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53123.

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

Adding to 1010001000011 its reverse (1100001000101), we get a palindrome (2110002000112).

It can be divided in two parts, 101000 and 1000011, that added together give a palindrome (1101011).

The spelling of 1010001000011 in words is "one trillion, ten billion, one million, eleven", and thus it is an aban number and an uban number.