2101110001 has 8 divisors (see below), whose sum is σ = 2184601320. Its totient is φ = 2018354688.

The previous prime is 2101109977. The next prime is 2101110013. The reversal of 2101110001 is 1000111012.

It can be written as a sum of positive squares in 4 ways, for example, as 1274490000 + 826620001 = 35700^2 + 28751^2 .

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 2101110001 - 2⁹ = 2101109489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2101110031) 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, 178176 + ... + 189601.

It is an arithmetic number, because the mean of its divisors is an integer number (273075165).

Almost surely, 2^2101110001 is an apocalyptic number.

It is an amenable number.

2101110001 is a deficient number, since it is larger than the sum of its proper divisors (83491319).

2101110001 is a wasteful number, since it uses less digits than its factorization.

2101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368003.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2101110001 is about 45837.8664534029. The cubic root of 2101110001 is about 1280.8047513021.

Adding to 2101110001 its reverse (1000111012), we get a palindrome (3101221013).

The spelling of 2101110001 in words is "two billion, one hundred one million, one hundred ten thousand, one".