201022103032200 has 288 divisors, whose sum is σ = 676065971809800. Its totient is φ = 53529159168000.

The previous prime is 201022103032199. The next prime is 201022103032229. The reversal of 201022103032200 is 2230301220102.

201022103032200 is a `hidden beast` number, since 2 + 0 + 102 + 210 + 30 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10974869111556 + 190047233920644 = 3312834^2 + 13785762^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8661374196 + ... + 8661397404.

Almost surely, 2^{201022103032200} is an apocalyptic number.

201022103032200 is a gapful number since it is divisible by the number (20) 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 201022103032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338032985904900).

201022103032200 is an abundant number, since it is smaller than the sum of its proper divisors (475043868777600).

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

201022103032200 is a wasteful number, since it uses less digits than its factorization.

201022103032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29913 (or 29901 counting only the distinct ones).

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

Adding to 201022103032200 its reverse (2230301220102), we get a palindrome (203252404252302).

The spelling of 201022103032200 in words is "two hundred one trillion, twenty-two billion, one hundred three million, thirty-two thousand, two hundred".