221413214402010 has 192 divisors, whose sum is σ = 641834689691520. Its totient is φ = 52627878420480.

The previous prime is 221413214401943. The next prime is 221413214402047. The reversal of 221413214402010 is 10204412314122.

221413214402010 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 13 + 2 + 1 + 440 + 201 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85085154 + ... + 87648786.

It is an arithmetic number, because the mean of its divisors is an integer number (3342889008810).

Almost surely, 2^{221413214402010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221413214402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320917344845760).

221413214402010 is an abundant number, since it is smaller than the sum of its proper divisors (420421475289510).

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

221413214402010 is a wasteful number, since it uses less digits than its factorization.

221413214402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566653 (or 2566650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 221413214402010 its reverse (10204412314122), we get a palindrome (231617626716132).

The spelling of 221413214402010 in words is "two hundred twenty-one trillion, four hundred thirteen billion, two hundred fourteen million, four hundred two thousand, ten".