10100110101110 has 32 divisors (see below), whose sum is σ = 18538454705472. Its totient is φ = 3961208188800.

The previous prime is 10100110101079. The next prime is 10100110101121. The reversal of 10100110101110 is 1110101100101.

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 15 ways as a sum of consecutive naturals, for example, 48440189 + ... + 48648248.

It is an arithmetic number, because the mean of its divisors is an integer number (579326709546).

Almost surely, 2^{10100110101110} is an apocalyptic number.

10100110101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100110101110 is a deficient number, since it is larger than the sum of its proper divisors (8438344604362).

10100110101110 is a wasteful number, since it uses less digits than its factorization.

10100110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97088648.

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

Adding to 10100110101110 its reverse (1110101100101), we get a palindrome (11210211201211).

The spelling of 10100110101110 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred one thousand, one hundred ten".