971210001001 has 16 divisors (see below), whose sum is σ = 1005349183488. Its totient is φ = 937249117200.

The previous prime is 971210000953. The next prime is 971210001011. The reversal of 971210001001 is 100100012179.

It is a cyclic number.

It is not a de Polignac number, because 971210001001 - 2⁹ = 971210000489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (971210001011) 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, 22722016 + ... + 22764718.

It is an arithmetic number, because the mean of its divisors is an integer number (62834323968).

Almost surely, 2^971210001001 is an apocalyptic number.

It is an amenable number.

971210001001 is a deficient number, since it is larger than the sum of its proper divisors (34139182487).

971210001001 is a wasteful number, since it uses less digits than its factorization.

971210001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44772.

The product of its (nonzero) digits is 126, while the sum is 22.

The spelling of 971210001001 in words is "nine hundred seventy-one billion, two hundred ten million, one thousand, one".