3771000034101 has 12 divisors (see below), whose sum is σ = 5500930744140. Its totient is φ = 2489108932800.

The previous prime is 3771000034063. The next prime is 3771000034169. The reversal of 3771000034101 is 1014300001773.

It can be written as a sum of positive squares in 2 ways, for example, as 3680354480625 + 90645553476 = 1918425^2 + 301074^2 .

It is not a de Polignac number, because 3771000034101 - 2⁹ = 3771000033589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3771000034001) 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 11 ways as a sum of consecutive naturals, for example, 2074256536 + ... + 2074258353.

It is an arithmetic number, because the mean of its divisors is an integer number (458410895345).

Almost surely, 2^{3771000034101} is an apocalyptic number.

It is an amenable number.

3771000034101 is a deficient number, since it is larger than the sum of its proper divisors (1729930710039).

3771000034101 is a wasteful number, since it uses less digits than its factorization.

3771000034101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148514996 (or 4148514993 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 3771000034101 its reverse (1014300001773), we get a palindrome (4785300035874).

The spelling of 3771000034101 in words is "three trillion, seven hundred seventy-one billion, thirty-four thousand, one hundred one".