71721901101 has 32 divisors (see below), whose sum is σ = 99877059072. Its totient is φ = 45737469440.

The previous prime is 71721901093. The next prime is 71721901117. The reversal of 71721901101 is 10110912717.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 71721901101 - 2³ = 71721901093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71721941101) 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 31 ways as a sum of consecutive naturals, for example, 13446031 + ... + 13451363.

It is an arithmetic number, because the mean of its divisors is an integer number (3121158096).

Almost surely, 2^71721901101 is an apocalyptic number.

It is an amenable number.

71721901101 is a deficient number, since it is larger than the sum of its proper divisors (28155157971).

71721901101 is a wasteful number, since it uses less digits than its factorization.

71721901101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493.

The product of its (nonzero) digits is 882, while the sum is 30.

The spelling of 71721901101 in words is "seventy-one billion, seven hundred twenty-one million, nine hundred one thousand, one hundred one".