221323301002000 has 80 divisors (see below), whose sum is σ = 566639726722992. Its totient is φ = 83321713305600.

The previous prime is 221323301001961. The next prime is 221323301002003. The reversal of 221323301002000 is 200103323122.

It can be written as a sum of positive squares in 8 ways, for example, as 64770754688784 + 156552546313216 = 8048028^2 + 12512096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221323301002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3254720427 + ... + 3254788426.

Almost surely, 2^{221323301002000} is an apocalyptic number.

221323301002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221323301002000 is an abundant number, since it is smaller than the sum of its proper divisors (345316425720992).

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

221323301002000 is a wasteful number, since it uses less digits than its factorization.

221323301002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509508893 (or 6509508877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 221323301002000 its reverse (200103323122), we get a palindrome (221523404325122).

The spelling of 221323301002000 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, three hundred one million, two thousand".