102221120221220 has 768 divisors, whose sum is σ = 294058339835904. Its totient is φ = 28822210560000.

The previous prime is 102221120221219. The next prime is 102221120221277. The reversal of 102221120221220 is 22122021122201.

It is a super-2 number, since 2×102221120221220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102221120221192 and 102221120221201.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109094044592 + ... + 109094045528.

It is an arithmetic number, because the mean of its divisors is an integer number (382888463328).

Almost surely, 2^{102221120221220} is an apocalyptic number.

102221120221220 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 102221120221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147029169917952).

102221120221220 is an abundant number, since it is smaller than the sum of its proper divisors (191837219614684).

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

102221120221220 is a wasteful number, since it uses less digits than its factorization.

102221120221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102221120221220 its reverse (22122021122201), we get a palindrome (124343141343421).

The spelling of 102221120221220 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".