201001321012120 has 192 divisors, whose sum is σ = 488175427846080. Its totient is φ = 74459043569664.

The previous prime is 201001321012097. The next prime is 201001321012153. The reversal of 201001321012120 is 21210123100102.

It is a super-3 number, since 3×201001321012120³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001321012094 and 201001321012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186399142 + ... + 187474378.

It is an arithmetic number, because the mean of its divisors is an integer number (2542580353365).

Almost surely, 2^{201001321012120} is an apocalyptic number.

201001321012120 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 201001321012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244087713923040).

201001321012120 is an abundant number, since it is smaller than the sum of its proper divisors (287174106833960).

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

201001321012120 is a wasteful number, since it uses less digits than its factorization.

201001321012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075542 (or 1075521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201001321012120 its reverse (21210123100102), we get a palindrome (222211444112222).

The spelling of 201001321012120 in words is "two hundred one trillion, one billion, three hundred twenty-one million, twelve thousand, one hundred twenty".