201022100200 has 96 divisors (see below), whose sum is σ = 477241787160. Its totient is φ = 78727680000.

The previous prime is 201022100197. The next prime is 201022100233. The reversal of 201022100200 is 2001220102.

It can be written as a sum of positive squares in 12 ways, for example, as 3934049284 + 197088050916 = 62722^2 + 443946^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1949950 + ... + 2050450.

Almost surely, 2^201022100200 is an apocalyptic number.

201022100200 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 201022100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238620893580).

201022100200 is an abundant number, since it is smaller than the sum of its proper divisors (276219686960).

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

201022100200 is a wasteful number, since it uses less digits than its factorization.

201022100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100727 (or 100718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201022100200 its reverse (2001220102), we get a palindrome (203023320302).

The spelling of 201022100200 in words is "two hundred one billion, twenty-two million, one hundred thousand, two hundred".