10111101102097 has 8 divisors (see below), whose sum is σ = 10459882932840. Its totient is φ = 9762327482880.

The previous prime is 10111101102059. The next prime is 10111101102103. The reversal of 10111101102097 is 79020110111101.

It can be written as a sum of positive squares in 4 ways, for example, as 2221766132481 + 7889334969616 = 1490559^2 + 2808796^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10111101102097 - 2¹¹ = 10111101100049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111101109097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506347 + ... + 4525327.

It is an arithmetic number, because the mean of its divisors is an integer number (1307485366605).

Almost surely, 2^{10111101102097} is an apocalyptic number.

It is an amenable number.

10111101102097 is a deficient number, since it is larger than the sum of its proper divisors (348781830743).

10111101102097 is an equidigital number, since it uses as much as digits as its factorization.

10111101102097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105763.

The product of its (nonzero) digits is 126, while the sum is 25.

Adding to 10111101102097 its reverse (79020110111101), we get a palindrome (89131211213198).

The spelling of 10111101102097 in words is "ten trillion, one hundred eleven billion, one hundred one million, one hundred two thousand, ninety-seven".