221232102000 has 1280 divisors, whose sum is σ = 924708814848. Its totient is φ = 44258918400.

The previous prime is 221232101983. The next prime is 221232102001. The reversal of 221232102000 is 201232122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232102001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 949493884 + ... + 949494116.

Almost surely, 2^221232102000 is an apocalyptic number.

221232102000 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 221232102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462354407424).

221232102000 is an abundant number, since it is smaller than the sum of its proper divisors (703476712848).

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

221232102000 is a wasteful number, since it uses less digits than its factorization.

221232102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221232102000 its reverse (201232122), we get a palindrome (221433334122).

The spelling of 221232102000 in words is "two hundred twenty-one billion, two hundred thirty-two million, one hundred two thousand".