201020211222120 has 96 divisors (see below), whose sum is σ = 654732857698920. Its totient is φ = 53489108943360.

The previous prime is 201020211222097. The next prime is 201020211222163. The reversal of 201020211222120 is 21222112020102.

It is a happy number.

201020211222120 is a `hidden beast` number, since 201 + 0 + 20 + 211 + 22 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155385349513956 + 45634861708164 = 12465366^2 + 6755358^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201020211222093 and 201020211222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605462539 + ... + 605794458.

Almost surely, 2^{201020211222120} is an apocalyptic number.

201020211222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020211222120 is an abundant number, since it is smaller than the sum of its proper divisors (453712646476800).

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

201020211222120 is a wasteful number, since it uses less digits than its factorization.

201020211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211257475 (or 1211257468 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201020211222120 its reverse (21222112020102), we get a palindrome (222242323242222).

The spelling of 201020211222120 in words is "two hundred one trillion, twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".