102223122300 has 216 divisors, whose sum is σ = 347061265824. Its totient is φ = 25016670720.

The previous prime is 102223122299. The next prime is 102223122319. The reversal of 102223122300 is 3221322201.

102223122300 is a `hidden beast` number, since 102 + 22 + 312 + 230 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1998849 + ... + 2049351.

Almost surely, 2^102223122300 is an apocalyptic number.

102223122300 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 102223122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173530632912).

102223122300 is an abundant number, since it is smaller than the sum of its proper divisors (244838143524).

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

102223122300 is a wasteful number, since it uses less digits than its factorization.

102223122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50709 (or 50699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102223122300 its reverse (3221322201), we get a palindrome (105444444501).

The spelling of 102223122300 in words is "one hundred two billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred".