2100164681 has 4 divisors (see below), whose sum is σ = 2100372864. Its totient is φ = 2099956500.

The previous prime is 2100164641. The next prime is 2100164699. The reversal of 2100164681 is 1864610012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100164681 - 2⁶ = 2100164617 is a prime.

It is a super-4 number, since 4×2100164681⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100164641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88145 + ... + 109406.

It is an arithmetic number, because the mean of its divisors is an integer number (525093216).

Almost surely, 2^2100164681 is an apocalyptic number.

It is an amenable number.

2100164681 is a deficient number, since it is larger than the sum of its proper divisors (208183).

2100164681 is a wasteful number, since it uses less digits than its factorization.

2100164681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208182.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2100164681 is about 45827.5537313525. The cubic root of 2100164681 is about 1280.6126382486.

Adding to 2100164681 its reverse (1864610012), we get a palindrome (3964774693).

The spelling of 2100164681 in words is "two billion, one hundred million, one hundred sixty-four thousand, six hundred eighty-one".