10100001111101 has 16 divisors (see below), whose sum is σ = 11137131201600. Its totient is φ = 9082856784000.

The previous prime is 10100001111077. The next prime is 10100001111133. The reversal of 10100001111101 is 10111110000101.

It is a cyclic number.

It is not a de Polignac number, because 10100001111101 - 2³⁸ = 9825123204157 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 (10100001111401) 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, 2771771 + ... + 5280408.

It is an arithmetic number, because the mean of its divisors is an integer number (696070700100).

Almost surely, 2^{10100001111101} is an apocalyptic number.

10100001111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100001111101 is a deficient number, since it is larger than the sum of its proper divisors (1037130090499).

10100001111101 is a wasteful number, since it uses less digits than its factorization.

10100001111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053420.

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

Adding to 10100001111101 its reverse (10111110000101), we get a palindrome (20211111111202).

The spelling of 10100001111101 in words is "ten trillion, one hundred billion, one million, one hundred eleven thousand, one hundred one".