320101132102220 has 192 divisors, whose sum is σ = 828454352947200. Its totient is φ = 101430168053760.

The previous prime is 320101132102211. The next prime is 320101132102247. The reversal of 320101132102220 is 22201231101023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320101132102192 and 320101132102201.

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, 1834629146 + ... + 1834803614.

It is an arithmetic number, because the mean of its divisors is an integer number (4314866421600).

Almost surely, 2^{320101132102220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320101132102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414227176473600).

320101132102220 is an abundant number, since it is smaller than the sum of its proper divisors (508353220844980).

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

320101132102220 is a wasteful number, since it uses less digits than its factorization.

320101132102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191368 (or 191366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 320101132102220 its reverse (22201231101023), we get a palindrome (342302363203243).

The spelling of 320101132102220 in words is "three hundred twenty trillion, one hundred one billion, one hundred thirty-two million, one hundred two thousand, two hundred twenty".