10101111100110 has 40 divisors (see below), whose sum is σ = 27160765404696. Its totient is φ = 2693629626480.

The previous prime is 10101111100043. The next prime is 10101111100123. The reversal of 10101111100110 is 1100111110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101111100092 and 10101111100101.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6235252956 + ... + 6235254575.

Almost surely, 2^{10101111100110} is an apocalyptic number.

10101111100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101111100110 is an abundant number, since it is smaller than the sum of its proper divisors (17059654304586).

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

10101111100110 is a wasteful number, since it uses less digits than its factorization.

10101111100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12470507550 (or 12470507541 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10101111100110 its reverse (1100111110101), we get a palindrome (11201222210211).

Subtracting from 10101111100110 its reverse (1100111110101), we obtain a palindrome (9000999990009).

The spelling of 10101111100110 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred ten".