10021001011 has 16 divisors (see below), whose sum is σ = 11907072000. Its totient is φ = 8251534368.

The previous prime is 10021001009. The next prime is 10021001017. The reversal of 10021001011 is 11010012001.

10021001011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021001011 - 2¹ = 10021001009 is a prime.

It is a super-2 number, since 2×10021001011² (a number of 21 digits) contains 22 as substring.

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 = 10021000985 and 10021001003.

It is not an unprimeable number, because it can be changed into a prime (10021001017) 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 15 ways as a sum of consecutive naturals, for example, 83635 + ... + 164428.

It is an arithmetic number, because the mean of its divisors is an integer number (744192000).

Almost surely, 2^10021001011 is an apocalyptic number.

10021001011 is a deficient number, since it is larger than the sum of its proper divisors (1886070989).

10021001011 is a wasteful number, since it uses less digits than its factorization.

10021001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248298.

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

Adding to 10021001011 its reverse (11010012001), we get a palindrome (21031013012).

The spelling of 10021001011 in words is "ten billion, twenty-one million, one thousand, eleven".