201001222001120 has 48 divisors (see below), whose sum is σ = 474893610428160. Its totient is φ = 80395710226944.

The previous prime is 201001222001117. The next prime is 201001222001189. The reversal of 201001222001120 is 21100222100102.

201001222001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201001222001120³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001222001095 and 201001222001104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34631552 + ... + 40016831.

It is an arithmetic number, because the mean of its divisors is an integer number (9893616883920).

Almost surely, 2^{201001222001120} is an apocalyptic number.

201001222001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001222001120 is an abundant number, since it is smaller than the sum of its proper divisors (273892388427040).

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

201001222001120 is a wasteful number, since it uses less digits than its factorization.

201001222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74665227 (or 74665219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201001222001120 its reverse (21100222100102), we get a palindrome (222101444101222).

The spelling of 201001222001120 in words is "two hundred one trillion, one billion, two hundred twenty-two million, one thousand, one hundred twenty".