10111000110101 has 12 divisors (see below), whose sum is σ = 11113837891296. Its totient is φ = 9191740563720.

The previous prime is 10111000110083. The next prime is 10111000110109. The reversal of 10111000110101 is 10101100011101.

It is not a de Polignac number, because 10111000110101 - 2³⁰ = 10109926368277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111000110109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17896400 + ... + 18452726.

It is an arithmetic number, because the mean of its divisors is an integer number (926153157608).

Almost surely, 2^{10111000110101} is an apocalyptic number.

10111000110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111000110101 is a deficient number, since it is larger than the sum of its proper divisors (1002837781195).

10111000110101 is a wasteful number, since it uses less digits than its factorization.

10111000110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706552 (or 706541 counting only the distinct ones).

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

Adding to 10111000110101 its reverse (10101100011101), we get a palindrome (20212100121202).

The spelling of 10111000110101 in words is "ten trillion, one hundred eleven billion, one hundred ten thousand, one hundred one".