10101100110111 has 40 divisors (see below), whose sum is σ = 15749619218784. Its totient is φ = 6439536417600.

The previous prime is 10101100110091. The next prime is 10101100110121. The reversal of 10101100110111 is 11101100110101.

It is not a de Polignac number, because 10101100110111 - 2¹³ = 10101100101919 is a prime.

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 = 10101100110093 and 10101100110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100110121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6162465 + ... + 7627461.

Almost surely, 2^{10101100110111} is an apocalyptic number.

10101100110111 is a deficient number, since it is larger than the sum of its proper divisors (5648519108673).

10101100110111 is a wasteful number, since it uses less digits than its factorization.

10101100110111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468733 (or 1468724 counting only the distinct ones).

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

Adding to 10101100110111 its reverse (11101100110101), we get a palindrome (21202200220212).

The spelling of 10101100110111 in words is "ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred eleven".