102221122122 has 224 divisors, whose sum is σ = 275055740928. Its totient is φ = 27844790688.

The previous prime is 102221122103. The next prime is 102221122127. The reversal of 102221122122 is 221221122201.

It is a happy number.

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 = 102221122095 and 102221122104.

It is not an unprimeable number, because it can be changed into a prime (102221122127) 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 111 ways as a sum of consecutive naturals, for example, 103988443 + ... + 103989425.

Almost surely, 2^102221122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137527870464).

102221122122 is an abundant number, since it is smaller than the sum of its proper divisors (172834618806).

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

102221122122 is an equidigital number, since it uses as much as digits as its factorization.

102221122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221122122 its reverse (221221122201), we get a palindrome (323442244323).

The spelling of 102221122122 in words is "one hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".