221300233220010 has 256 divisors, whose sum is σ = 642667493744640. Its totient is φ = 47641403335680.

The previous prime is 221300233219997. The next prime is 221300233220083. The reversal of 221300233220010 is 10022332003122.

It is a happy number.

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

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, 2464789579 + ... + 2464879361.

It is an arithmetic number, because the mean of its divisors is an integer number (2510419897440).

Almost surely, 2^{221300233220010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221300233220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321333746872320).

221300233220010 is an abundant number, since it is smaller than the sum of its proper divisors (421367260524630).

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

221300233220010 is a wasteful number, since it uses less digits than its factorization.

221300233220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93413.

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

Adding to 221300233220010 its reverse (10022332003122), we get a palindrome (231322565223132).

The spelling of 221300233220010 in words is "two hundred twenty-one trillion, three hundred billion, two hundred thirty-three million, two hundred twenty thousand, ten".