10001110101101 has 16 divisors (see below), whose sum is σ = 11743360487040. Its totient is φ = 8338480657920.

The previous prime is 10001110101091. The next prime is 10001110101107. The reversal of 10001110101101 is 10110101110001.

It is not a de Polignac number, because 10001110101101 - 2¹⁴ = 10001110084717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001110101107) 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, 51605171 + ... + 51798608.

It is an arithmetic number, because the mean of its divisors is an integer number (733960030440).

Almost surely, 2^{10001110101101} is an apocalyptic number.

It is an amenable number.

10001110101101 is a deficient number, since it is larger than the sum of its proper divisors (1742250385939).

10001110101101 is a wasteful number, since it uses less digits than its factorization.

10001110101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103404164.

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

Adding to 10001110101101 its reverse (10110101110001), we get a palindrome (20111211211102).

The spelling of 10001110101101 in words is "ten trillion, one billion, one hundred ten million, one hundred one thousand, one hundred one".