102221000102221 has 192 divisors, whose sum is σ = 155885482368000. Its totient is φ = 65480859924480.

The previous prime is 102221000102203. The next prime is 102221000102267. The reversal of 102221000102221 is 122201000122201.

It is a happy number.

It is not a de Polignac number, because 102221000102221 - 2¹⁵ = 102221000069453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221000102195 and 102221000102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221000102281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1944114910 + ... + 1944167488.

It is an arithmetic number, because the mean of its divisors is an integer number (811903554000).

Almost surely, 2^{102221000102221} is an apocalyptic number.

102221000102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221000102221 is a deficient number, since it is larger than the sum of its proper divisors (53664482265779).

102221000102221 is a wasteful number, since it uses less digits than its factorization.

102221000102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53512 (or 53505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221000102221 its reverse (122201000122201), we get a palindrome (224422000224422).

The spelling of 102221000102221 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred two thousand, two hundred twenty-one".