10101101100111 has 12 divisors (see below), whose sum is σ = 16674833562192. Its totient is φ = 5772057771456.

The previous prime is 10101101100107. The next prime is 10101101100119. The reversal of 10101101100111 is 11100110110101.

It is not a de Polignac number, because 10101101100111 - 2² = 10101101100107 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 = 10101101100093 and 10101101100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101100119) 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, 80167468986 + ... + 80167469111.

It is an arithmetic number, because the mean of its divisors is an integer number (1389569463516).

Almost surely, 2^{10101101100111} is an apocalyptic number.

10101101100111 is a deficient number, since it is larger than the sum of its proper divisors (6573732462081).

10101101100111 is a wasteful number, since it uses less digits than its factorization.

10101101100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160334938110 (or 160334938107 counting only the distinct ones).

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

Adding to 10101101100111 its reverse (11100110110101), we get a palindrome (21201211210212).

The spelling of 10101101100111 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred thousand, one hundred eleven".