10100111010110 has 128 divisors (see below), whose sum is σ = 20452112247168. Its totient is φ = 3560371200000.

The previous prime is 10100111010109. The next prime is 10100111010149. The reversal of 10100111010110 is 1101011100101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111065660 + ... + 111156560.

It is an arithmetic number, because the mean of its divisors is an integer number (159782126931).

Almost surely, 2^{10100111010110} is an apocalyptic number.

10100111010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100111010110 is an abundant number, since it is smaller than the sum of its proper divisors (10352001237058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100111010110 is a wasteful number, since it uses less digits than its factorization.

10100111010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91230.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100111010110 its reverse (1101011100101), we get a palindrome (11201122110211).

It can be divided in two parts, 101001 and 11010110, that added together give a palindrome (11111111).

The spelling of 10100111010110 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, one hundred ten".