10021331002221 has 72 divisors (see below), whose sum is σ = 18387377330400. Its totient is φ = 5200774850880.

The previous prime is 10021331002169. The next prime is 10021331002247. The reversal of 10021331002221 is 12220013312001.

10021331002221 is a `hidden beast` number, since 100 + 213 + 310 + 0 + 22 + 21 = 666.

It is not a de Polignac number, because 10021331002221 - 2²³ = 10021322613613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021331002194 and 10021331002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021331042221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3929515 + ... + 5956823.

It is an arithmetic number, because the mean of its divisors is an integer number (255380240700).

Almost surely, 2^{10021331002221} is an apocalyptic number.

10021331002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021331002221 is a deficient number, since it is larger than the sum of its proper divisors (8366046328179).

10021331002221 is a wasteful number, since it uses less digits than its factorization.

10021331002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028359 (or 2028349 counting only the distinct ones).

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

Adding to 10021331002221 its reverse (12220013312001), we get a palindrome (22241344314222).

The spelling of 10021331002221 in words is "ten trillion, twenty-one billion, three hundred thirty-one million, two thousand, two hundred twenty-one".