102223223201120 has 96 divisors (see below), whose sum is σ = 276172346596608. Its totient is φ = 35026420151808.

The previous prime is 102223223201119. The next prime is 102223223201207. The reversal of 102223223201120 is 21102322322201.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 26226542 + ... + 29871021.

It is an arithmetic number, because the mean of its divisors is an integer number (2876795277048).

Almost surely, 2^{102223223201120} is an apocalyptic number.

102223223201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223223201120 is an abundant number, since it is smaller than the sum of its proper divisors (173949123395488).

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

102223223201120 is a wasteful number, since it uses less digits than its factorization.

102223223201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56099212 (or 56099204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102223223201120 its reverse (21102322322201), we get a palindrome (123325545523321).

The spelling of 102223223201120 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-three million, two hundred one thousand, one hundred twenty".