201134000212200 has 288 divisors, whose sum is σ = 738394976928960. Its totient is φ = 48659632588800.

The previous prime is 201134000212163. The next prime is 201134000212331. The reversal of 201134000212200 is 2212000431102.

It is a happy number.

201134000212200 is a `hidden beast` number, since 20 + 1 + 1 + 3 + 400 + 0 + 21 + 220 + 0 = 666.

It is a super-2 number, since 2×201134000212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786849 + ... + 20072048.

It is an arithmetic number, because the mean of its divisors is an integer number (2563871447670).

Almost surely, 2^{201134000212200} is an apocalyptic number.

201134000212200 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 201134000212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369197488464480).

201134000212200 is an abundant number, since it is smaller than the sum of its proper divisors (537260976716760).

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

201134000212200 is a wasteful number, since it uses less digits than its factorization.

201134000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20859417 (or 20859405 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201134000212200 its reverse (2212000431102), we get a palindrome (203346000643302).

The spelling of 201134000212200 in words is "two hundred one trillion, one hundred thirty-four billion, two hundred twelve thousand, two hundred".