221201312300 has 144 divisors (see below), whose sum is σ = 524425684608. Its totient is φ = 80660889600.

The previous prime is 221201312291. The next prime is 221201312309. The reversal of 221201312300 is 3213102122.

It is an interprime number because it is at equal distance from previous prime (221201312291) and next prime (221201312309).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (221201312309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7736030 + ... + 7764570.

It is an arithmetic number, because the mean of its divisors is an integer number (3641845032).

Almost surely, 2^221201312300 is an apocalyptic number.

221201312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262212842304).

221201312300 is an abundant number, since it is smaller than the sum of its proper divisors (303224372308).

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

221201312300 is a wasteful number, since it uses less digits than its factorization.

221201312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28716 (or 28709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221201312300 its reverse (3213102122), we get a palindrome (224414414422).

The spelling of 221201312300 in words is "two hundred twenty-one billion, two hundred one million, three hundred twelve thousand, three hundred".