10000100100110 has 16 divisors (see below), whose sum is σ = 18005137607232. Its totient is φ = 3998938389600.

The previous prime is 10000100100091. The next prime is 10000100100113. The reversal of 10000100100110 is 1100100100001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10000100100094 and 10000100100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100100113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137668181 + ... + 137740800.

It is an arithmetic number, because the mean of its divisors is an integer number (1125321100452).

Almost surely, 2^{10000100100110} is an apocalyptic number.

10000100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000100100110 is a deficient number, since it is larger than the sum of its proper divisors (8005037507122).

10000100100110 is a wasteful number, since it uses less digits than its factorization.

10000100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275412619.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000100100110 its reverse (1100100100001), we get a palindrome (11100200200111).

The spelling of 10000100100110 in words is "ten trillion, one hundred million, one hundred thousand, one hundred ten".