10101101110001 has 16 divisors (see below), whose sum is σ = 11056065186816. Its totient is φ = 9152257410000.

The previous prime is 10101101109997. The next prime is 10101101110027. The reversal of 10101101110001 is 10001110110101.

10101101110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101101110001 - 2² = 10101101109997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101101110031) 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, 30937916 + ... + 31262706.

It is an arithmetic number, because the mean of its divisors is an integer number (691004074176).

Almost surely, 2^{10101101110001} is an apocalyptic number.

10101101110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101101110001 is a deficient number, since it is larger than the sum of its proper divisors (954964076815).

10101101110001 is a wasteful number, since it uses less digits than its factorization.

10101101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334204.

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

Adding to 10101101110001 its reverse (10001110110101), we get a palindrome (20102211220102).

It can be divided in two parts, 1010 and 1101110001, that added together give a palindrome (1101111011).

The spelling of 10101101110001 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one".