10100001110110 has 32 divisors (see below), whose sum is σ = 18338002794720. Its totient is φ = 4004975536128.

The previous prime is 10100001110071. The next prime is 10100001110117. The reversal of 10100001110110 is 1101110000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100001110093 and 10100001110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4462887 + ... + 6333826.

It is an arithmetic number, because the mean of its divisors is an integer number (573062587335).

Almost surely, 2^{10100001110110} is an apocalyptic number.

10100001110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100001110110 is a deficient number, since it is larger than the sum of its proper divisors (8238001684610).

10100001110110 is a wasteful number, since it uses less digits than its factorization.

10100001110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797532.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100001110110 its reverse (1101110000101), we get a palindrome (11201111110211).

The spelling of 10100001110110 in words is "ten trillion, one hundred billion, one million, one hundred ten thousand, one hundred ten".