102223313221200 has 60 divisors (see below), whose sum is σ = 327455346689088. Its totient is φ = 27259550192000.

The previous prime is 102223313221199. The next prime is 102223313221201. The reversal of 102223313221200 is 2122313322201.

It is an interprime number because it is at equal distance from previous prime (102223313221199) and next prime (102223313221201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223313221201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42593045976 + ... + 42593048375.

Almost surely, 2^{102223313221200} is an apocalyptic number.

102223313221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223313221200 is an abundant number, since it is smaller than the sum of its proper divisors (225232033467888).

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

102223313221200 is a wasteful number, since it uses less digits than its factorization.

102223313221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85186094372 (or 85186094361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102223313221200 its reverse (2122313322201), we get a palindrome (104345626543401).

The spelling of 102223313221200 in words is "one hundred two trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred".