102210220220022 has 192 divisors, whose sum is σ = 238352119050240. Its totient is φ = 31559518080000.

The previous prime is 102210220219993. The next prime is 102210220220027. The reversal of 102210220220022 is 220022022012201.

102210220220022 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 220 + 2 + 200 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102210220219977 and 102210220220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210220220027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2568656947 + ... + 2568696737.

It is an arithmetic number, because the mean of its divisors is an integer number (1241417286720).

Almost surely, 2^{102210220220022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210220220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119176059525120).

102210220220022 is an abundant number, since it is smaller than the sum of its proper divisors (136141898830218).

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

102210220220022 is a wasteful number, since it uses less digits than its factorization.

102210220220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40779 (or 40776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102210220220022 its reverse (220022022012201), we get a palindrome (322232242232223).

The spelling of 102210220220022 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty million, two hundred twenty thousand, twenty-two".