201041103200 has 288 divisors, whose sum is σ = 570338496000. Its totient is φ = 67777966080.

The previous prime is 201041103149. The next prime is 201041103257. The reversal of 201041103200 is 2301140102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 99180587 + ... + 99182613.

It is an arithmetic number, because the mean of its divisors is an integer number (1980342000).

Almost surely, 2^201041103200 is an apocalyptic number.

201041103200 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 201041103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285169248000).

201041103200 is an abundant number, since it is smaller than the sum of its proper divisors (369297392800).

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

201041103200 is a wasteful number, since it uses less digits than its factorization.

201041103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 201041103200 its reverse (2301140102), we get a palindrome (203342243302).

The spelling of 201041103200 in words is "two hundred one billion, forty-one million, one hundred three thousand, two hundred".