221010131200 has 108 divisors (see below), whose sum is σ = 549167233860. Its totient is φ = 88059412480.

The previous prime is 221010131183. The next prime is 221010131227. The reversal of 221010131200 is 2131010122.

221010131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8555510016 + 212454621184 = 92496^2 + 460928^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1577616 + ... + 1711984.

It is an arithmetic number, because the mean of its divisors is an integer number (5084881795).

Almost surely, 2^221010131200 is an apocalyptic number.

221010131200 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 221010131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274583616930).

221010131200 is an abundant number, since it is smaller than the sum of its proper divisors (328157102660).

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

221010131200 is a wasteful number, since it uses less digits than its factorization.

221010131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134652 (or 134633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221010131200 its reverse (2131010122), we get a palindrome (223141141322).

The spelling of 221010131200 in words is "two hundred twenty-one billion, ten million, one hundred thirty-one thousand, two hundred".