200101011201120 has 1152 divisors, whose sum is σ = 701106759295488. Its totient is φ = 47917279641600.

The previous prime is 200101011201103. The next prime is 200101011201151. The reversal of 200101011201120 is 21102110101002.

200101011201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200101011201096 and 200101011201105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35969979459 + ... + 35969985021.

It is an arithmetic number, because the mean of its divisors is an integer number (608599617444).

Almost surely, 2^{200101011201120} is an apocalyptic number.

200101011201120 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 200101011201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350553379647744).

200101011201120 is an abundant number, since it is smaller than the sum of its proper divisors (501005748094368).

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

200101011201120 is a wasteful number, since it uses less digits than its factorization.

200101011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200101011201120 its reverse (21102110101002), we get a palindrome (221203121302122).

The spelling of 200101011201120 in words is "two hundred trillion, one hundred one billion, eleven million, two hundred one thousand, one hundred twenty".