201112133010000 has 200 divisors, whose sum is σ = 649299714506784. Its totient is φ = 53623051200000.

The previous prime is 201112133009911. The next prime is 201112133010011. The reversal of 201112133010000 is 10331211102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×201112133010000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236605767 + ... + 237454233.

Almost surely, 2^{201112133010000} is an apocalyptic number.

201112133010000 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 201112133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324649857253392).

201112133010000 is an abundant number, since it is smaller than the sum of its proper divisors (448187581496784).

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

201112133010000 is an equidigital number, since it uses as much as digits as its factorization.

201112133010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856399 (or 856378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201112133010000 its reverse (10331211102), we get a palindrome (201122464221102).

The spelling of 201112133010000 in words is "two hundred one trillion, one hundred twelve billion, one hundred thirty-three million, ten thousand".