204100201040310 has 288 divisors, whose sum is σ = 547730713876320. Its totient is φ = 52728391618560.

The previous prime is 204100201040293. The next prime is 204100201040311. The reversal of 204100201040310 is 13040102001402.

204100201040310 is a `hidden beast` number, since 2 + 0 + 410 + 0 + 201 + 0 + 40 + 3 + 10 = 666.

It is a super-2 number, since 2×204100201040310² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204100201040311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13359958392 + ... + 13359973668.

It is an arithmetic number, because the mean of its divisors is an integer number (1901842756515).

Almost surely, 2^{204100201040310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204100201040310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273865356938160).

204100201040310 is an abundant number, since it is smaller than the sum of its proper divisors (343630512836010).

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

204100201040310 is a wasteful number, since it uses less digits than its factorization.

204100201040310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984 (or 15940 counting only the distinct ones).

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

Adding to 204100201040310 its reverse (13040102001402), we get a palindrome (217140303041712).

The spelling of 204100201040310 in words is "two hundred four trillion, one hundred billion, two hundred one million, forty thousand, three hundred ten".