101100000101110 has 32 divisors (see below), whose sum is σ = 183154520545920. Its totient is φ = 40179038869632.

The previous prime is 101100000101069. The next prime is 101100000101137. The reversal of 101100000101110 is 11101000001101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101100000101093 and 101100000101102.

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 15 ways as a sum of consecutive naturals, for example, 15993507 + ... + 21400753.

It is an arithmetic number, because the mean of its divisors is an integer number (5723578767060).

Almost surely, 2^{101100000101110} is an apocalyptic number.

101100000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100000101110 is a deficient number, since it is larger than the sum of its proper divisors (82054520444810).

101100000101110 is a wasteful number, since it uses less digits than its factorization.

101100000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419320.

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

Adding to 101100000101110 its reverse (11101000001101), we get a palindrome (112201000102211).

The spelling of 101100000101110 in words is "one hundred one trillion, one hundred billion, one hundred one thousand, one hundred ten".