204033110414100 has 144 divisors (see below), whose sum is σ = 644634695738880. Its totient is φ = 49414031100800.

The previous prime is 204033110414047. The next prime is 204033110414153. The reversal of 204033110414100 is 1414011330402.

It is an interprime number because it is at equal distance from previous prime (204033110414047) and next prime (204033110414153).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26974992 + ... + 33700391.

It is an arithmetic number, because the mean of its divisors is an integer number (4476629831520).

Almost surely, 2^{204033110414100} is an apocalyptic number.

204033110414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204033110414100 is an abundant number, since it is smaller than the sum of its proper divisors (440601585324780).

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

204033110414100 is a wasteful number, since it uses less digits than its factorization.

204033110414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60676430 (or 60676423 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 204033110414100 its reverse (1414011330402), we get a palindrome (205447121744502).

The spelling of 204033110414100 in words is "two hundred four trillion, thirty-three billion, one hundred ten million, four hundred fourteen thousand, one hundred".