10100010001101 has 32 divisors (see below), whose sum is σ = 14005608572928. Its totient is φ = 6468999681600.

The previous prime is 10100010001021. The next prime is 10100010001157. The reversal of 10100010001101 is 10110001000101.

It is not a de Polignac number, because 10100010001101 - 2¹⁵ = 10100009968333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010001181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994926 + ... + 4603248.

It is an arithmetic number, because the mean of its divisors is an integer number (437675267904).

Almost surely, 2^{10100010001101} is an apocalyptic number.

It is an amenable number.

10100010001101 is a deficient number, since it is larger than the sum of its proper divisors (3905598571827).

10100010001101 is a wasteful number, since it uses less digits than its factorization.

10100010001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608681.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100010001101 its reverse (10110001000101), we get a palindrome (20210011001202).

The spelling of 10100010001101 in words is "ten trillion, one hundred billion, ten million, one thousand, one hundred one".