10111000101110 has 32 divisors (see below), whose sum is σ = 19272285821952. Its totient is φ = 3806117038080.

The previous prime is 10111000101107. The next prime is 10111000101119. The reversal of 10111000101110 is 1110100011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000101119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222307 + ... + 4660046.

It is an arithmetic number, because the mean of its divisors is an integer number (602258931936).

Almost surely, 2^{10111000101110} is an apocalyptic number.

10111000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111000101110 is a deficient number, since it is larger than the sum of its proper divisors (9161285720842).

10111000101110 is a wasteful number, since it uses less digits than its factorization.

10111000101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892488.

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

Adding to 10111000101110 its reverse (1110100011101), we get a palindrome (11221100112211).

Subtracting from 10111000101110 its reverse (1110100011101), we obtain a palindrome (9000900090009).

It can be divided in two parts, 10111000 and 101110, that multiplied together give a square (1022323210000 = 1011100²).

The spelling of 10111000101110 in words is "ten trillion, one hundred eleven billion, one hundred one thousand, one hundred ten".