201201002122120 has 256 divisors, whose sum is σ = 639814746009600. Its totient is φ = 54841263528960.

The previous prime is 201201002122117. The next prime is 201201002122129. The reversal of 201201002122120 is 21221200102102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201201002122094 and 201201002122103.

It is not an unprimeable number, because it can be changed into a prime (201201002122129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 131476084 + ... + 132997603.

It is an arithmetic number, because the mean of its divisors is an integer number (2499276351600).

Almost surely, 2^{201201002122120} is an apocalyptic number.

201201002122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201002122120 is an abundant number, since it is smaller than the sum of its proper divisors (438613743887480).

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

201201002122120 is a wasteful number, since it uses less digits than its factorization.

201201002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264473748 (or 264473744 counting only the distinct ones).

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

Adding to 201201002122120 its reverse (21221200102102), we get a palindrome (222422202224222).

The spelling of 201201002122120 in words is "two hundred one trillion, two hundred one billion, two million, one hundred twenty-two thousand, one hundred twenty".