10001010002011 has 24 divisors (see below), whose sum is σ = 11765439047520. Its totient is φ = 8475332342400.

The previous prime is 10001010001993. The next prime is 10001010002047. The reversal of 10001010002011 is 11020001010001.

It is not a de Polignac number, because 10001010002011 - 2²¹ = 10001007904859 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001010001985 and 10001010002003.

It is not an unprimeable number, because it can be changed into a prime (10001010002411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62461146 + ... + 62621056.

It is an arithmetic number, because the mean of its divisors is an integer number (490226626980).

Almost surely, 2^{10001010002011} is an apocalyptic number.

10001010002011 is a deficient number, since it is larger than the sum of its proper divisors (1764429045509).

10001010002011 is a wasteful number, since it uses less digits than its factorization.

10001010002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174355 (or 174348 counting only the distinct ones).

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

Adding to 10001010002011 its reverse (11020001010001), we get a palindrome (21021011012012).

The spelling of 10001010002011 in words is "ten trillion, one billion, ten million, two thousand, eleven".