10200200107 has 16 divisors (see below), whose sum is σ = 10931880960. Its totient is φ = 9483610752.

The previous prime is 10200200093. The next prime is 10200200123. The reversal of 10200200107 is 70100200201.

It is not a de Polignac number, because 10200200107 - 2¹¹ = 10200198059 is a prime.

It is a super-2 number, since 2×10200200107² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200200147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726718 + ... + 740620.

It is an arithmetic number, because the mean of its divisors is an integer number (683242560).

Almost surely, 2^10200200107 is an apocalyptic number.

10200200107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10200200107 is a deficient number, since it is larger than the sum of its proper divisors (731680853).

10200200107 is a wasteful number, since it uses less digits than its factorization.

10200200107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14442.

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 10200200107 its reverse (70100200201), we get a palindrome (80300400308).

The spelling of 10200200107 in words is "ten billion, two hundred million, two hundred thousand, one hundred seven".