102222301120200 has 1152 divisors, whose sum is σ = 366488629833600. Its totient is φ = 26179469568000.

The previous prime is 102222301120169. The next prime is 102222301120271. The reversal of 102222301120200 is 2021103222201.

102222301120200 is a `hidden beast` number, since 1 + 0 + 2 + 222 + 301 + 120 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242808315990 + ... + 242808316410.

It is an arithmetic number, because the mean of its divisors is an integer number (318132491175).

Almost surely, 2^{102222301120200} is an apocalyptic number.

102222301120200 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 102222301120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183244314916800).

102222301120200 is an abundant number, since it is smaller than the sum of its proper divisors (264266328713400).

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

102222301120200 is a wasteful number, since it uses less digits than its factorization.

102222301120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 682 counting only the distinct ones).

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

Adding to 102222301120200 its reverse (2021103222201), we get a palindrome (104243404342401).

The spelling of 102222301120200 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred one million, one hundred twenty thousand, two hundred".