102221033000 has 64 divisors (see below), whose sum is σ = 240061395600. Its totient is φ = 40740691200.

The previous prime is 102221032993. The next prime is 102221033009. The reversal of 102221033000 is 330122201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 586317796 + 101634715204 = 24214^2 + 318802^2 .

It is not an unprimeable number, because it can be changed into a prime (102221033009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92486 + ... + 461514.

Almost surely, 2^102221033000 is an apocalyptic number.

102221033000 is a gapful number since it is divisible by the number (10) 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 102221033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120030697800).

102221033000 is an abundant number, since it is smaller than the sum of its proper divisors (137840362600).

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

102221033000 is a wasteful number, since it uses less digits than its factorization.

102221033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369327 (or 369313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102221033000 its reverse (330122201), we get a palindrome (102551155201).

The spelling of 102221033000 in words is "one hundred two billion, two hundred twenty-one million, thirty-three thousand".