102222123212200 has 96 divisors (see below), whose sum is σ = 239797511586360. Its totient is φ = 40522296729600.

The previous prime is 102222123212159. The next prime is 102222123212201. The reversal of 102222123212200 is 2212321222201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8090486206884 + 94131637005316 = 2844378^2 + 9702146^2 .

It is not an unprimeable number, because it can be changed into a prime (102222123212201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197740462 + ... + 198256738.

Almost surely, 2^{102222123212200} is an apocalyptic number.

102222123212200 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 102222123212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119898755793180).

102222123212200 is an abundant number, since it is smaller than the sum of its proper divisors (137575388374160).

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

102222123212200 is a wasteful number, since it uses less digits than its factorization.

102222123212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525167 (or 525158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102222123212200 its reverse (2212321222201), we get a palindrome (104434444434401).

The spelling of 102222123212200 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred".