71749000100101 has 16 divisors (see below), whose sum is σ = 76153512251520. Its totient is φ = 67364974656000.

The previous prime is 71749000100093. The next prime is 71749000100131. The reversal of 71749000100101 is 10100100094717.

It is not a de Polignac number, because 71749000100101 - 2³ = 71749000100093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71749000100131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51561850 + ... + 52935076.

It is an arithmetic number, because the mean of its divisors is an integer number (4759594515720).

Almost surely, 2^{71749000100101} is an apocalyptic number.

It is an amenable number.

71749000100101 is a deficient number, since it is larger than the sum of its proper divisors (4404512151419).

71749000100101 is a wasteful number, since it uses less digits than its factorization.

71749000100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380684.

The product of its (nonzero) digits is 1764, while the sum is 31.

Adding to 71749000100101 its reverse (10100100094717), we get a palindrome (81849100194818).

The spelling of 71749000100101 in words is "seventy-one trillion, seven hundred forty-nine billion, one hundred thousand, one hundred one".