10072172172097 has 4 divisors (see below), whose sum is σ = 11511053910976. Its totient is φ = 8633290433220.

The previous prime is 10072172172091. The next prime is 10072172172103. The reversal of 10072172172097 is 79027127127001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (10072172172091) and next prime (10072172172103).

It is a cyclic number.

It is not a de Polignac number, because 10072172172097 - 2³ = 10072172172089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10072172172091) 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 3 ways as a sum of consecutive naturals, for example, 719440869429 + ... + 719440869442.

It is an arithmetic number, because the mean of its divisors is an integer number (2877763477744).

Almost surely, 2^{10072172172097} is an apocalyptic number.

It is an amenable number.

10072172172097 is a deficient number, since it is larger than the sum of its proper divisors (1438881738879).

10072172172097 is an equidigital number, since it uses as much as digits as its factorization.

10072172172097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438881738878.

The product of its (nonzero) digits is 172872, while the sum is 46.

Adding to 10072172172097 its reverse (79027127127001), we get a palindrome (89099299299098).

The spelling of 10072172172097 in words is "ten trillion, seventy-two billion, one hundred seventy-two million, one hundred seventy-two thousand, ninety-seven".