201121120101200 has 720 divisors, whose sum is σ = 567082923994944. Its totient is φ = 68087478681600.

The previous prime is 201121120101199. The next prime is 201121120101221. The reversal of 201121120101200 is 2101021121102.

It is a super-2 number, since 2×201121120101200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50955437627 + ... + 50955441573.

Almost surely, 2^{201121120101200} is an apocalyptic number.

201121120101200 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 201121120101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283541461997472).

201121120101200 is an abundant number, since it is smaller than the sum of its proper divisors (365961803893744).

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

201121120101200 is a wasteful number, since it uses less digits than its factorization.

201121120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121120101200 its reverse (2101021121102), we get a palindrome (203222141222302).

The spelling of 201121120101200 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred one thousand, two hundred".