102221001220 has 96 divisors (see below), whose sum is σ = 234397836288. Its totient is φ = 37220470272.

The previous prime is 102221001209. The next prime is 102221001229. The reversal of 102221001220 is 22100122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102221001220.

It is not an unprimeable number, because it can be changed into a prime (102221001229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6195622 + ... + 6212098.

It is an arithmetic number, because the mean of its divisors is an integer number (2441644128).

Almost surely, 2^102221001220 is an apocalyptic number.

102221001220 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 102221001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117198918144).

102221001220 is an abundant number, since it is smaller than the sum of its proper divisors (132176835068).

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

102221001220 is a wasteful number, since it uses less digits than its factorization.

102221001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102221001220 its reverse (22100122201), we get a palindrome (124321123421).

The spelling of 102221001220 in words is "one hundred two billion, two hundred twenty-one million, one thousand, two hundred twenty".