221313214125 has 48 divisors (see below), whose sum is σ = 399064721328. Its totient is φ = 118000944000.

The previous prime is 221313214123. The next prime is 221313214151. The reversal of 221313214125 is 521412313122.

It is a happy number.

221313214125 is a `hidden beast` number, since 2 + 213 + 1 + 32 + 1 + 412 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137594999844 + 83718214281 = 370938^2 + 289341^2 .

It is not a de Polignac number, because 221313214125 - 2¹ = 221313214123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313214123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4336255 + ... + 4386995.

It is an arithmetic number, because the mean of its divisors is an integer number (8313848361).

Almost surely, 2^221313214125 is an apocalyptic number.

221313214125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221313214125 is a deficient number, since it is larger than the sum of its proper divisors (177751507203).

221313214125 is a wasteful number, since it uses less digits than its factorization.

221313214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54639 (or 54626 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 221313214125 its reverse (521412313122), we get a palindrome (742725527247).

The spelling of 221313214125 in words is "two hundred twenty-one billion, three hundred thirteen million, two hundred fourteen thousand, one hundred twenty-five".