201020122221120 has 336 divisors, whose sum is σ = 692056494969840. Its totient is φ = 53556465696768.

The previous prime is 201020122221089. The next prime is 201020122221199. The reversal of 201020122221120 is 21122221020102.

It is a happy number.

201020122221120 is a `hidden beast` number, since 2 + 0 + 10 + 201 + 222 + 211 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 672176978496 + 200347945242624 = 819864^2 + 14154432^2 .

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 = 201020122221093 and 201020122221102.

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 47 ways as a sum of consecutive naturals, for example, 24228044812 + ... + 24228053108.

It is an arithmetic number, because the mean of its divisors is an integer number (2059691949315).

Almost surely, 2^{201020122221120} is an apocalyptic number.

201020122221120 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 201020122221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346028247484920).

201020122221120 is an abundant number, since it is smaller than the sum of its proper divisors (491036372748720).

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

201020122221120 is a wasteful number, since it uses less digits than its factorization.

201020122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14969 counting only the distinct ones).

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

Adding to 201020122221120 its reverse (21122221020102), we get a palindrome (222142343241222).

The spelling of 201020122221120 in words is "two hundred one trillion, twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".