221021310000 has 100 divisors (see below), whose sum is σ = 713486355032. Its totient is φ = 58939008000.

The previous prime is 221021309981. The next prime is 221021310001. The reversal of 221021310000 is 13120122.

221021310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×221021310000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221021310001) 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 19 ways as a sum of consecutive naturals, for example, 3653689 + ... + 3713688.

Almost surely, 2^221021310000 is an apocalyptic number.

221021310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021310000 is an abundant number, since it is smaller than the sum of its proper divisors (492465045032).

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

221021310000 is an equidigital number, since it uses as much as digits as its factorization.

221021310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367408 (or 7367387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 221021310000 its reverse (13120122), we get a palindrome (221034430122).

The spelling of 221021310000 in words is "two hundred twenty-one billion, twenty-one million, three hundred ten thousand".