10001001101101 has 8 divisors (see below), whose sum is σ = 10170658108800. Its totient is φ = 9831349044000.

The previous prime is 10001001101087. The next prime is 10001001101141. The reversal of 10001001101101 is 10110110010001.

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 10001001101101 - 2¹¹ = 10001001099053 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 (10001001101141) 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, 2956476 + ... + 5361226.

It is an arithmetic number, because the mean of its divisors is an integer number (1271332263600).

Almost surely, 2^{10001001101101} is an apocalyptic number.

It is an amenable number.

10001001101101 is a deficient number, since it is larger than the sum of its proper divisors (169657007699).

10001001101101 is an equidigital number, since it uses as much as digits as its factorization.

10001001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475299.

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

Adding to 10001001101101 its reverse (10110110010001), we get a palindrome (20111111111102).

The spelling of 10001001101101 in words is "ten trillion, one billion, one million, one hundred one thousand, one hundred one".