10101100110101 has 16 divisors (see below), whose sum is σ = 13562316233088. Its totient is φ = 7265526552000.

The previous prime is 10101100110091. The next prime is 10101100110121.

10101100110101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10101100110101 - 2¹⁰ = 10101100109077 is a prime.

10101100110101 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 5045503550 + ... + 5045505551.

It is an arithmetic number, because the mean of its divisors is an integer number (847644764568).

Almost surely, 2^{10101100110101} is an apocalyptic number.

10101100110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101100110101 is a deficient number, since it is larger than the sum of its proper divisors (3461216122987).

10101100110101 is a wasteful number, since it uses less digits than its factorization.

10101100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10091009132.

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

It can be divided in two parts, 10101100 and 110101, that added together give a palindrome (10211201).

The spelling of 10101100110101 in words is "ten trillion, one hundred one billion, one hundred million, one hundred ten thousand, one hundred one".