221313141123210 has 192 divisors, whose sum is σ = 595343522592000. Its totient is φ = 57003900318720.

The previous prime is 221313141123209. The next prime is 221313141123331. The reversal of 221313141123210 is 12321141313122.

221313141123210 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 3 + 1 + 411 + 232 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183533736 + ... + 184735644.

It is an arithmetic number, because the mean of its divisors is an integer number (3100747513500).

Almost surely, 2^{221313141123210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221313141123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297671761296000).

221313141123210 is an abundant number, since it is smaller than the sum of its proper divisors (374030381468790).

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

221313141123210 is a wasteful number, since it uses less digits than its factorization.

221313141123210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202461 (or 1202458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 221313141123210 its reverse (12321141313122), we get a palindrome (233634282436332).

The spelling of 221313141123210 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred forty-one million, one hundred twenty-three thousand, two hundred ten".