10111100101110 has 160 divisors (see below), whose sum is σ = 27372042529920. Its totient is φ = 2678065659648.

The previous prime is 10111100101103. The next prime is 10111100101129. The reversal of 10111100101110 is 1110100111101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10111100101092 and 10111100101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71054211 + ... + 71196369.

It is an arithmetic number, because the mean of its divisors is an integer number (171075265812).

Almost surely, 2^{10111100101110} is an apocalyptic number.

10111100101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111100101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686021264960).

10111100101110 is an abundant number, since it is smaller than the sum of its proper divisors (17260942428810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111100101110 is a wasteful number, since it uses less digits than its factorization.

10111100101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142772 (or 142763 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111100101110 its reverse (1110100111101), we get a palindrome (11221200212211).

Subtracting from 10111100101110 its reverse (1110100111101), we obtain a palindrome (9000999990009).

The spelling of 10111100101110 in words is "ten trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred ten".