10001101101101 has 16 divisors (see below), whose sum is σ = 10950327396288. Its totient is φ = 9058563225600.

The previous prime is 10001101101077. The next prime is 10001101101113. The reversal of 10001101101101 is 10110110110001.

It is a cyclic number.

It is not a de Polignac number, because 10001101101101 - 2¹⁴ = 10001101084717 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 (10001101101151) 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, 12274925 + ... + 13064301.

It is an arithmetic number, because the mean of its divisors is an integer number (684395462268).

Almost surely, 2^{10001101101101} is an apocalyptic number.

10001101101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001101101101 is a deficient number, since it is larger than the sum of its proper divisors (949226295187).

10001101101101 is a wasteful number, since it uses less digits than its factorization.

10001101101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793612.

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

Adding to 10001101101101 its reverse (10110110110001), we get a palindrome (20111211211102).

It can be divided in two parts, 10001 and 101101101, that multiplied together give a palindrome (1011112111101).

The spelling of 10001101101101 in words is "ten trillion, one billion, one hundred one million, one hundred one thousand, one hundred one".