2100001101 has 48 divisors (see below), whose sum is σ = 3231836160. Its totient is φ = 1210413600.

The previous prime is 2100001097. The next prime is 2100001103. The reversal of 2100001101 is 1011000012.

It is not a de Polignac number, because 2100001101 - 2² = 2100001097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662346 + ... + 665508.

It is an arithmetic number, because the mean of its divisors is an integer number (67329920).

Almost surely, 2^2100001101 is an apocalyptic number.

It is an amenable number.

2100001101 is a deficient number, since it is larger than the sum of its proper divisors (1131835059).

2100001101 is a wasteful number, since it uses less digits than its factorization.

2100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2100001101 is about 45825.7689624517. The cubic root of 2100001101 is about 1280.5793887839.

Adding to 2100001101 its reverse (1011000012), we get a palindrome (3111001113).

The spelling of 2100001101 in words is "two billion, one hundred million, one thousand, one hundred one".