205107250202001 has 24 divisors (see below), whose sum is σ = 350265254863680. Its totient is φ = 113162620800096.

The previous prime is 205107250201981. The next prime is 205107250202009. The reversal of 205107250202001 is 100202052701502.

205107250202001 is a `hidden beast` number, since 20 + 51 + 0 + 72 + 502 + 0 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 205107250202001 - 2⁵ = 205107250201969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205107250202009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56132250555 + ... + 56132254208.

It is an arithmetic number, because the mean of its divisors is an integer number (14594385619320).

Almost surely, 2^{205107250202001} is an apocalyptic number.

205107250202001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205107250202001 is a deficient number, since it is larger than the sum of its proper divisors (145158004661679).

205107250202001 is a wasteful number, since it uses less digits than its factorization.

205107250202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112264504805 (or 112264504802 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 205107250202001 in words is "two hundred five trillion, one hundred seven billion, two hundred fifty million, two hundred two thousand, one".