201120011010000 has 300 divisors, whose sum is σ = 703384830007860. Its totient is φ = 53629021440000.

The previous prime is 201120011009987. The next prime is 201120011010001. The reversal of 201120011010000 is 10110021102.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 71433193697856 + 129686817312144 = 8451816^2 + 11388012^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120011010001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1963838796 + ... + 1963941204.

Almost surely, 2^{201120011010000} is an apocalyptic number.

201120011010000 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 201120011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351692415003930).

201120011010000 is an abundant number, since it is smaller than the sum of its proper divisors (502264818997860).

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

201120011010000 is a wasteful number, since it uses less digits than its factorization.

201120011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124264 (or 124240 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201120011010000 its reverse (10110021102), we get a palindrome (201130121031102).

The spelling of 201120011010000 in words is "two hundred one trillion, one hundred twenty billion, eleven million, ten thousand".