10101100101110 has 16 divisors (see below), whose sum is σ = 18808945016400. Its totient is φ = 3901114521696.

The previous prime is 10101100101107. The next prime is 10101100101121. The reversal of 10101100101110 is 1110100110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17415689540 + ... + 17415690119.

It is an arithmetic number, because the mean of its divisors is an integer number (1175559063525).

Almost surely, 2^{10101100101110} is an apocalyptic number.

10101100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101100101110 is a deficient number, since it is larger than the sum of its proper divisors (8707844915290).

10101100101110 is a wasteful number, since it uses less digits than its factorization.

10101100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34831379695.

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

Adding to 10101100101110 its reverse (1110100110101), we get a palindrome (11211200211211).

The spelling of 10101100101110 in words is "ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred ten".