201120201010200 has 192 divisors, whose sum is σ = 628041092440320. Its totient is φ = 53239717440000.

The previous prime is 201120201010189. The next prime is 201120201010241. The reversal of 201120201010200 is 2010102021102.

201120201010200 is digitally balanced in base 2, 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 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, 97988485 + ... + 100019915.

It is an arithmetic number, because the mean of its divisors is an integer number (3271047356460).

Almost surely, 2^{201120201010200} is an apocalyptic number.

201120201010200 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 201120201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314020546220160).

201120201010200 is an abundant number, since it is smaller than the sum of its proper divisors (426920891430120).

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

201120201010200 is a wasteful number, since it uses less digits than its factorization.

201120201010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032658 (or 2032649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120201010200 its reverse (2010102021102), we get a palindrome (203130303031302).

The spelling of 201120201010200 in words is "two hundred one trillion, one hundred twenty billion, two hundred one million, ten thousand, two hundred".