10106100000110 has 32 divisors (see below), whose sum is σ = 18778139235072. Its totient is φ = 3911965079040.

The previous prime is 10106100000109. The next prime is 10106100000127. The reversal of 10106100000110 is 1100000160101.

It is a junction number, because it is equal to n+sod(n) for n = 10106100000091 and 10106100000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17937254 + ... + 18492086.

It is an arithmetic number, because the mean of its divisors is an integer number (586816851096).

Almost surely, 2^{10106100000110} is an apocalyptic number.

10106100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10106100000110 is a deficient number, since it is larger than the sum of its proper divisors (8672039234962).

10106100000110 is a wasteful number, since it uses less digits than its factorization.

10106100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613628.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10106100000110 its reverse (1100000160101), we get a palindrome (11206100160211).

The spelling of 10106100000110 in words is "ten trillion, one hundred six billion, one hundred million, one hundred ten", and thus it is an aban number.