102210122322 has 240 divisors, whose sum is σ = 291128346432. Its totient is φ = 26038247040.

The previous prime is 102210122281. The next prime is 102210122323. The reversal of 102210122322 is 223221012201.

102210122322 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 122 + 322 = 666.

It is a super-3 number, since 3×102210122322³ (a number of 34 digits) contains 333 as substring.

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 = 102210122295 and 102210122304.

It is not an unprimeable number, because it can be changed into a prime (102210122323) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35038008 + ... + 35040924.

Almost surely, 2^102210122322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145564173216).

102210122322 is an abundant number, since it is smaller than the sum of its proper divisors (188918224110).

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

102210122322 is a wasteful number, since it uses less digits than its factorization.

102210122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102210122322 its reverse (223221012201), we get a palindrome (325431134523).

The spelling of 102210122322 in words is "one hundred two billion, two hundred ten million, one hundred twenty-two thousand, three hundred twenty-two".