10221020032311 has 32 divisors (see below), whose sum is σ = 16727919283200. Its totient is φ = 6116145459840.

The previous prime is 10221020032297. The next prime is 10221020032367. The reversal of 10221020032311 is 11323002012201.

10221020032311 is a `hidden beast` number, since 10 + 221 + 0 + 200 + 3 + 231 + 1 = 666.

It is not a de Polignac number, because 10221020032311 - 2⁹ = 10221020031799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221020012311) 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, 217787986 + ... + 217834911.

It is an arithmetic number, because the mean of its divisors is an integer number (522747477600).

Almost surely, 2^{10221020032311} is an apocalyptic number.

10221020032311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221020032311 is a deficient number, since it is larger than the sum of its proper divisors (6506899250889).

10221020032311 is a wasteful number, since it uses less digits than its factorization.

10221020032311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435622996 (or 435622990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221020032311 its reverse (11323002012201), we get a palindrome (21544022044512).

The spelling of 10221020032311 in words is "ten trillion, two hundred twenty-one billion, twenty million, thirty-two thousand, three hundred eleven".