102222120223300 has 288 divisors, whose sum is σ = 291691910522880. Its totient is φ = 30124491494400.

The previous prime is 102222120223259. The next prime is 102222120223339. The reversal of 102222120223300 is 3322021222201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72894352 + ... + 74283448.

It is an arithmetic number, because the mean of its divisors is an integer number (1012819133760).

Almost surely, 2^{102222120223300} is an apocalyptic number.

102222120223300 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 102222120223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145845955261440).

102222120223300 is an abundant number, since it is smaller than the sum of its proper divisors (189469790299580).

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

102222120223300 is a wasteful number, since it uses less digits than its factorization.

102222120223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389651 (or 1389644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102222120223300 its reverse (3322021222201), we get a palindrome (105544141445501).

The spelling of 102222120223300 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-three thousand, three hundred".