221201212131300 has 144 divisors (see below), whose sum is σ = 641466437270400. Its totient is φ = 58852662435840.

The previous prime is 221201212131281. The next prime is 221201212131337. The reversal of 221201212131300 is 3131212102122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4547043577 + ... + 4547092223.

It is an arithmetic number, because the mean of its divisors is an integer number (4454628036600).

Almost surely, 2^{221201212131300} is an apocalyptic number.

221201212131300 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 221201212131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320733218635200).

221201212131300 is an abundant number, since it is smaller than the sum of its proper divisors (420265225139100).

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

221201212131300 is a wasteful number, since it uses less digits than its factorization.

221201212131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82870 (or 82863 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221201212131300 its reverse (3131212102122), we get a palindrome (224332424233422).

The spelling of 221201212131300 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred twelve million, one hundred thirty-one thousand, three hundred".