201021222220200 has 120 divisors (see below), whose sum is σ = 698176485748830. Its totient is φ = 53605659254400.

The previous prime is 201021222220199. The next prime is 201021222220289. The reversal of 201021222220200 is 2022222120102.

201021222220200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 21 + 222 + 220 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 122569210925604 + 78452011294596 = 11071098^2 + 8857314^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 29 ways as a sum of consecutive naturals, for example, 6204342511 + ... + 6204374910.

Almost surely, 2^{201021222220200} is an apocalyptic number.

201021222220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021222220200 is an abundant number, since it is smaller than the sum of its proper divisors (497155263528630).

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

201021222220200 is a wasteful number, since it uses less digits than its factorization.

201021222220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12408717449 (or 12408717431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201021222220200 its reverse (2022222120102), we get a palindrome (203043444340302).

It can be divided in two parts, 20102122 and 2220200, that added together give a palindrome (22322322).

The spelling of 201021222220200 in words is "two hundred one trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".