221233101000 has 256 divisors, whose sum is σ = 717904512000. Its totient is φ = 56672179200.

The previous prime is 221233100983. The next prime is 221233101007. The reversal of 221233101000 is 101332122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (221233101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8756386 + ... + 8781614.

It is an arithmetic number, because the mean of its divisors is an integer number (2804314500).

Almost surely, 2^221233101000 is an apocalyptic number.

221233101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221233101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358952256000).

221233101000 is an abundant number, since it is smaller than the sum of its proper divisors (496671411000).

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

221233101000 is a wasteful number, since it uses less digits than its factorization.

221233101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25369 (or 25355 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221233101000 its reverse (101332122), we get a palindrome (221334433122).

The spelling of 221233101000 in words is "two hundred twenty-one billion, two hundred thirty-three million, one hundred one thousand".