102223222012320 has 384 divisors, whose sum is σ = 344018949120000. Its totient is φ = 25458164551680.

The previous prime is 102223222012297. The next prime is 102223222012367. The reversal of 102223222012320 is 23210222322201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905704051 + ... + 905816909.

It is an arithmetic number, because the mean of its divisors is an integer number (895882680000).

Almost surely, 2^{102223222012320} is an apocalyptic number.

102223222012320 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 102223222012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172009474560000).

102223222012320 is an abundant number, since it is smaller than the sum of its proper divisors (241795727107680).

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

102223222012320 is a wasteful number, since it uses less digits than its factorization.

102223222012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115036 (or 115028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102223222012320 its reverse (23210222322201), we get a palindrome (125433444334521).

The spelling of 102223222012320 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred twenty-two million, twelve thousand, three hundred twenty".