10021442221300 has 36 divisors (see below), whose sum is σ = 21764457772876. Its totient is φ = 4005272160000.

The previous prime is 10021442221291. The next prime is 10021442221309. The reversal of 10021442221300 is 312224412001.

It is an interprime number because it is at equal distance from previous prime (10021442221291) and next prime (10021442221309).

It can be written as a sum of positive squares in 6 ways, for example, as 2613660689124 + 7407781532176 = 1616682^2 + 2721724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021442221309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41187201 + ... + 41429800.

Almost surely, 2^{10021442221300} is an apocalyptic number.

10021442221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021442221300 is an abundant number, since it is smaller than the sum of its proper divisors (11743015551576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10021442221300 is a wasteful number, since it uses less digits than its factorization.

10021442221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82618228 (or 82618221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10021442221300 its reverse (312224412001), we get a palindrome (10333666633301).

The spelling of 10021442221300 in words is "ten trillion, twenty-one billion, four hundred forty-two million, two hundred twenty-one thousand, three hundred".