100505010110 has 64 divisors (see below), whose sum is σ = 187674568704. Its totient is φ = 38725632000.

The previous prime is 100505010107. The next prime is 100505010113. The reversal of 100505010110 is 11010505001.

It is an interprime number because it is at equal distance from previous prime (100505010107) and next prime (100505010113).

It is a super-2 number, since 2×100505010110² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505010113) 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 31 ways as a sum of consecutive naturals, for example, 15856862 + ... + 15863198.

It is an arithmetic number, because the mean of its divisors is an integer number (2932415136).

Almost surely, 2^100505010110 is an apocalyptic number.

100505010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100505010110 is a deficient number, since it is larger than the sum of its proper divisors (87169558594).

100505010110 is a wasteful number, since it uses less digits than its factorization.

100505010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 100505010110 its reverse (11010505001), we get a palindrome (111515515111).

The spelling of 100505010110 in words is "one hundred billion, five hundred five million, ten thousand, one hundred ten".