10121197792689 has 189 divisors, whose sum is σ = 16358077269723. Its totient is φ = 6258823854624.

The previous prime is 10121197792681. The next prime is 10121197792733. The reversal of 10121197792689 is 98629779112101.

The square root of 10121197792689 is 3181383.

It is a perfect power (a square), and thus also a powerful number.

10121197792689 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 97 + 79 + 268 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7054426304289 + 3066771488400 = 2656017^2 + 1751220^2 .

It is not a de Polignac number, because 10121197792689 - 2³ = 10121197792681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121197792681) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 92855025567 + ... + 92855025675.

Almost surely, 2^{10121197792689} is an apocalyptic number.

10121197792689 is the 3181383-rd square number.

10121197792689 is the 1590692-nd centered octagonal number.

It is an amenable number.

10121197792689 is a deficient number, since it is larger than the sum of its proper divisors (6236879477034).

10121197792689 is an frugal number, since it uses more digits than its factorization.

10121197792689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 63.

The spelling of 10121197792689 in words is "ten trillion, one hundred twenty-one billion, one hundred ninety-seven million, seven hundred ninety-two thousand, six hundred eighty-nine".