73005611101 has 16 divisors (see below), whose sum is σ = 76110007680. Its totient is φ = 69966040320.

The previous prime is 73005611089. The next prime is 73005611149. The reversal of 73005611101 is 10111650037.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73005611101 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 (73005617101) 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, 3489865 + ... + 3510721.

It is an arithmetic number, because the mean of its divisors is an integer number (4756875480).

Almost surely, 2^73005611101 is an apocalyptic number.

It is an amenable number.

73005611101 is a deficient number, since it is larger than the sum of its proper divisors (3104396579).

73005611101 is a wasteful number, since it uses less digits than its factorization.

73005611101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22404.

The product of its (nonzero) digits is 630, while the sum is 25.

The spelling of 73005611101 in words is "seventy-three billion, five million, six hundred eleven thousand, one hundred one".