204100201101000 has 256 divisors, whose sum is σ = 687392348198400. Its totient is φ = 50265156480000.

The previous prime is 204100201100959. The next prime is 204100201101019. The reversal of 204100201101000 is 101102001402.

It is a happy number.

It is a super-2 number, since 2×204100201101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48998551 + ... + 53000550.

It is an arithmetic number, because the mean of its divisors is an integer number (2685126360150).

Almost surely, 2^{204100201101000} is an apocalyptic number.

204100201101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204100201101000 is an abundant number, since it is smaller than the sum of its proper divisors (483292147097400).

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

204100201101000 is a wasteful number, since it uses less digits than its factorization.

204100201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101999177 (or 101999163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 204100201101000 its reverse (101102001402), we get a palindrome (204201303102402).

The spelling of 204100201101000 in words is "two hundred four trillion, one hundred billion, two hundred one million, one hundred one thousand".