201122012002120 has 512 divisors, whose sum is σ = 547897950351360. Its totient is φ = 65542828032000.

The previous prime is 201122012002091. The next prime is 201122012002147. The reversal of 201122012002120 is 21200210221102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201122012002094 and 201122012002103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88172735380 + ... + 88172737660.

It is an arithmetic number, because the mean of its divisors is an integer number (1070113184280).

Almost surely, 2^{201122012002120} is an apocalyptic number.

201122012002120 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 201122012002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273948975175680).

201122012002120 is an abundant number, since it is smaller than the sum of its proper divisors (346775938349240).

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

201122012002120 is a wasteful number, since it uses less digits than its factorization.

201122012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4433 counting only the distinct ones).

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

Adding to 201122012002120 its reverse (21200210221102), we get a palindrome (222322222223222).

The spelling of 201122012002120 in words is "two hundred one trillion, one hundred twenty-two billion, twelve million, two thousand, one hundred twenty".