10101110211101 has 16 divisors (see below), whose sum is σ = 12685852704000. Its totient is φ = 7992087196464.

The previous prime is 10101110211079. The next prime is 10101110211121. The reversal of 10101110211101 is 10111201110101.

It is a happy number.

It is not a de Polignac number, because 10101110211101 - 2¹⁴ = 10101110194717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101110211121) 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, 1132660961 + ... + 1132669878.

It is an arithmetic number, because the mean of its divisors is an integer number (792865794000).

Almost surely, 2^{10101110211101} is an apocalyptic number.

It is an amenable number.

10101110211101 is a deficient number, since it is larger than the sum of its proper divisors (2584742492899).

10101110211101 is an equidigital number, since it uses as much as digits as its factorization.

10101110211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265330873 (or 2265330859 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10101110211101 its reverse (10111201110101), we get a palindrome (20212311321202).

The spelling of 10101110211101 in words is "ten trillion, one hundred one billion, one hundred ten million, two hundred eleven thousand, one hundred one".