102222202212200 has 768 divisors, whose sum is σ = 288600728371200. Its totient is φ = 32946186240000.

The previous prime is 102222202212191. The next prime is 102222202212253. The reversal of 102222202212200 is 2212202222201.

It is a super-2 number, since 2×102222202212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65068237415 + ... + 65068238985.

It is an arithmetic number, because the mean of its divisors is an integer number (375782198400).

Almost surely, 2^{102222202212200} is an apocalyptic number.

102222202212200 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 102222202212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144300364185600).

102222202212200 is an abundant number, since it is smaller than the sum of its proper divisors (186378526159000).

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

102222202212200 is a wasteful number, since it uses less digits than its factorization.

102222202212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102222202212200 its reverse (2212202222201), we get a palindrome (104434404434401).

The spelling of 102222202212200 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two million, two hundred twelve thousand, two hundred".