10100017205 has 16 divisors (see below), whose sum is σ = 12154320000. Its totient is φ = 8057184960.

The previous prime is 10100017177. The next prime is 10100017219. The reversal of 10100017205 is 50271000101.

It is not a de Polignac number, because 10100017205 - 2²⁴ = 10083239989 is a prime.

It is a super-4 number, since 4×10100017205⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366296 + ... + 3369294.

It is an arithmetic number, because the mean of its divisors is an integer number (759645000).

Almost surely, 2^10100017205 is an apocalyptic number.

It is an amenable number.

10100017205 is a deficient number, since it is larger than the sum of its proper divisors (2054302795).

10100017205 is a wasteful number, since it uses less digits than its factorization.

10100017205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684.

The product of its (nonzero) digits is 70, while the sum is 17.

Adding to 10100017205 its reverse (50271000101), we get a palindrome (60371017306).

The spelling of 10100017205 in words is "ten billion, one hundred million, seventeen thousand, two hundred five".