102222301212300 has 288 divisors, whose sum is σ = 317611856540160. Its totient is φ = 25291249356800.

The previous prime is 102222301212289. The next prime is 102222301212323. The reversal of 102222301212300 is 3212103222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4297028806 + ... + 4297052594.

It is an arithmetic number, because the mean of its divisors is an integer number (1102818946320).

Almost surely, 2^{102222301212300} is an apocalyptic number.

102222301212300 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 102222301212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158805928270080).

102222301212300 is an abundant number, since it is smaller than the sum of its proper divisors (215389555327860).

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

102222301212300 is a wasteful number, since it uses less digits than its factorization.

102222301212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35761 (or 35754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102222301212300 its reverse (3212103222201), we get a palindrome (105434404434501).

The spelling of 102222301212300 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred one million, two hundred twelve thousand, three hundred".