2101101110001 has 24 divisors (see below), whose sum is σ = 3062132234304. Its totient is φ = 1388204606880.

The previous prime is 2101101109969. The next prime is 2101101110011. The reversal of 2101101110001 is 1000111011012.

It is not a de Polignac number, because 2101101110001 - 2⁵ = 2101101109969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2101101110011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284581 + ... + 2069586.

It is an arithmetic number, because the mean of its divisors is an integer number (127588843096).

Almost surely, 2^{2101101110001} is an apocalyptic number.

It is an amenable number.

2101101110001 is a deficient number, since it is larger than the sum of its proper divisors (961031124303).

2101101110001 is a wasteful number, since it uses less digits than its factorization.

2101101110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355061 (or 2355058 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101101110001 its reverse (1000111011012), we get a palindrome (3101212121013).

The spelling of 2101101110001 in words is "two trillion, one hundred one billion, one hundred one million, one hundred ten thousand, one".