10100001101101 has 8 divisors (see below), whose sum is σ = 10101894082560. Its totient is φ = 10098108290592.

The previous prime is 10100001101089. The next prime is 10100001101129. The reversal of 10100001101101 is 10110110000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100001101101 - 2⁹ = 10100001100589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001101171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187848660 + ... + 187902418.

It is an arithmetic number, because the mean of its divisors is an integer number (1262736760320).

Almost surely, 2^{10100001101101} is an apocalyptic number.

It is an amenable number.

10100001101101 is a deficient number, since it is larger than the sum of its proper divisors (1892981459).

10100001101101 is an equidigital number, since it uses as much as digits as its factorization.

10100001101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85475.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100001101101 its reverse (10110110000101), we get a palindrome (20210111101202).

The spelling of 10100001101101 in words is "ten trillion, one hundred billion, one million, one hundred one thousand, one hundred one".