102212122122 has 72 divisors (see below), whose sum is σ = 244050321060. Its totient is φ = 30893491200.

The previous prime is 102212122097. The next prime is 102212122127. The reversal of 102212122122 is 221221212201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101978674281 + 233447841 = 319341^2 + 15279^2 .

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 = 102212122095 and 102212122104.

It is not an unprimeable number, because it can be changed into a prime (102212122127) 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 35 ways as a sum of consecutive naturals, for example, 786922 + ... + 907562.

Almost surely, 2^102212122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122025160530).

102212122122 is an abundant number, since it is smaller than the sum of its proper divisors (141838198938).

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

102212122122 is a wasteful number, since it uses less digits than its factorization.

102212122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121060 (or 121046 counting only the distinct ones).

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

Adding to 102212122122 its reverse (221221212201), we get a palindrome (323433334323).

The spelling of 102212122122 in words is "one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".