3969123824101 has 8 divisors (see below), whose sum is σ = 3985664375000. Its totient is φ = 3952583861760.

The previous prime is 3969123824047. The next prime is 3969123824111. The reversal of 3969123824101 is 1014283219693.

3969123824101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 838825183876 + 3130298640225 = 915874^2 + 1769265^2 .

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 3969123824101 - 2³⁹ = 3419368010213 is a prime.

It is a super-2 number, since 2×3969123824101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969123824111) 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, 18035275 + ... + 18254023.

It is an arithmetic number, because the mean of its divisors is an integer number (498208046875).

Almost surely, 2^{3969123824101} is an apocalyptic number.

It is an amenable number.

3969123824101 is a deficient number, since it is larger than the sum of its proper divisors (16540550899).

3969123824101 is a wasteful number, since it uses less digits than its factorization.

3969123824101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294279.

The product of its (nonzero) digits is 559872, while the sum is 49.

The spelling of 3969123824101 in words is "three trillion, nine hundred sixty-nine billion, one hundred twenty-three million, eight hundred twenty-four thousand, one hundred one".