211200201122020 has 72 divisors (see below), whose sum is σ = 491064356922552. Its totient is φ = 76239488540160.

The previous prime is 211200201121991. The next prime is 211200201122033. The reversal of 211200201122020 is 20221102002112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17688063895524 + 193512137226496 = 4205718^2 + 13910864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211200201121985 and 211200201122003.

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, 318182367 + ... + 318845446.

It is an arithmetic number, because the mean of its divisors is an integer number (6820338290591).

Almost surely, 2^{211200201122020} is an apocalyptic number.

211200201122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200201122020 is an abundant number, since it is smaller than the sum of its proper divisors (279864155800532).

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

211200201122020 is a wasteful number, since it uses less digits than its factorization.

211200201122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637027981 (or 637027968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211200201122020 its reverse (20221102002112), we get a palindrome (231421303124132).

The spelling of 211200201122020 in words is "two hundred eleven trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, twenty".