10032021011 has 64 divisors (see below), whose sum is σ = 11827399680. Its totient is φ = 8453652480.

The previous prime is 10032021001. The next prime is 10032021031. The reversal of 10032021011 is 11012023001.

It is a cyclic number.

It is not a de Polignac number, because 10032021011 - 2¹⁴ = 10032004627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032020983 and 10032021001.

It is not an unprimeable number, because it can be changed into a prime (10032021001) 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 63 ways as a sum of consecutive naturals, for example, 63898145 + ... + 63898301.

It is an arithmetic number, because the mean of its divisors is an integer number (184803120).

Almost surely, 2^10032021011 is an apocalyptic number.

10032021011 is a deficient number, since it is larger than the sum of its proper divisors (1795378669).

10032021011 is a wasteful number, since it uses less digits than its factorization.

10032021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10032021011 its reverse (11012023001), we get a palindrome (21044044012).

The spelling of 10032021011 in words is "ten billion, thirty-two million, twenty-one thousand, eleven".