221303020213002 has 256 divisors, whose sum is σ = 562063194685440. Its totient is φ = 56539891296000.

The previous prime is 221303020212997. The next prime is 221303020213087. The reversal of 221303020213002 is 200312020303122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 221303020213002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4764201877 + ... + 4764248327.

It is an arithmetic number, because the mean of its divisors is an integer number (2195559354240).

Almost surely, 2^{221303020213002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221303020213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281031597342720).

221303020213002 is an abundant number, since it is smaller than the sum of its proper divisors (340760174472438).

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

221303020213002 is a wasteful number, since it uses less digits than its factorization.

221303020213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48689.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221303020213002 its reverse (200312020303122), we get a palindrome (421615040516124).

The spelling of 221303020213002 in words is "two hundred twenty-one trillion, three hundred three billion, twenty million, two hundred thirteen thousand, two".