201041243213112 has 192 divisors, whose sum is σ = 594910435392000. Its totient is φ = 63429137316864.

The previous prime is 201041243213077. The next prime is 201041243213137. The reversal of 201041243213112 is 211312342140102.

201041243213112 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 1 + 24 + 321 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38273064 + ... + 43207752.

It is an arithmetic number, because the mean of its divisors is an integer number (3098491851000).

Almost surely, 2^{201041243213112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201041243213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297455217696000).

201041243213112 is an abundant number, since it is smaller than the sum of its proper divisors (393869192178888).

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

201041243213112 is a wasteful number, since it uses less digits than its factorization.

201041243213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935832 (or 4935816 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 201041243213112 its reverse (211312342140102), we get a palindrome (412353585353214).

The spelling of 201041243213112 in words is "two hundred one trillion, forty-one billion, two hundred forty-three million, two hundred thirteen thousand, one hundred twelve".