2164003101 has 16 divisors (see below), whose sum is σ = 3452541120. Its totient is φ = 1331694000.

The previous prime is 2164003099. The next prime is 2164003109. The reversal of 2164003101 is 1013004612.

It is a happy number.

2164003101 is a `hidden beast` number, since 21 + 640 + 0 + 3 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 2164003101 - 2¹ = 2164003099 is a prime.

It is a super-2 number, since 2×2164003101² = 9365818842275232402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164003109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3082275 + ... + 3082976.

It is an arithmetic number, because the mean of its divisors is an integer number (215783820).

Almost surely, 2^2164003101 is an apocalyptic number.

It is an amenable number.

2164003101 is a deficient number, since it is larger than the sum of its proper divisors (1288538019).

2164003101 is a wasteful number, since it uses less digits than its factorization.

2164003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165273 (or 6165267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2164003101 is about 46518.8467290409. The cubic root of 2164003101 is about 1293.4588785837.

Adding to 2164003101 its reverse (1013004612), we get a palindrome (3177007713).

The spelling of 2164003101 in words is "two billion, one hundred sixty-four million, three thousand, one hundred one".