102220200200320 has 384 divisors, whose sum is σ = 262437197889600. Its totient is φ = 38063174123520.

The previous prime is 102220200200299. The next prime is 102220200200353. The reversal of 102220200200320 is 23002002022201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102220200200294 and 102220200200303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6361321246 + ... + 6361337314.

Almost surely, 2^{102220200200320} is an apocalyptic number.

102220200200320 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 102220200200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131218598944800).

102220200200320 is an abundant number, since it is smaller than the sum of its proper divisors (160216997689280).

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

102220200200320 is a wasteful number, since it uses less digits than its factorization.

102220200200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16496 (or 16467 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 102220200200320 its reverse (23002002022201), we get a palindrome (125222202222521).

The spelling of 102220200200320 in words is "one hundred two trillion, two hundred twenty billion, two hundred million, two hundred thousand, three hundred twenty".