102322100200320 has 1536 divisors, whose sum is σ = 477028337909760. Its totient is φ = 19517585817600.

The previous prime is 102322100200283. The next prime is 102322100200351. The reversal of 102322100200320 is 23002001223201.

102322100200320 is a `hidden beast` number, since 1 + 0 + 2 + 322 + 1 + 0 + 0 + 20 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102322100200293 and 102322100200302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1043553537 + ... + 1043651583.

It is an arithmetic number, because the mean of its divisors is an integer number (310565324160).

Almost surely, 2^{102322100200320} is an apocalyptic number.

102322100200320 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 102322100200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238514168954880).

102322100200320 is an abundant number, since it is smaller than the sum of its proper divisors (374706237709440).

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

102322100200320 is a wasteful number, since it uses less digits than its factorization.

102322100200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98284 (or 98269 counting only the distinct ones).

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

Adding to 102322100200320 its reverse (23002001223201), we get a palindrome (125324101423521).

The spelling of 102322100200320 in words is "one hundred two trillion, three hundred twenty-two billion, one hundred million, two hundred thousand, three hundred twenty".