10429741299121 has 9 divisors (see below), whose sum is σ = 10656527252331. Its totient is φ = 10207683352272.

The previous prime is 10429741299011. The next prime is 10429741299157. The reversal of 10429741299121 is 12199214792401.

The square root of 10429741299121 is 3229511.

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

It can be written as a sum of positive squares in only one way, i.e., 4204037640625 + 6225703658496 = 2050375^2 + 2495136^2 .

It is not a de Polignac number, because 10429741299121 - 2⁷ = 10429741298993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10429741299721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151752661 + ... + 151821373.

Almost surely, 2^{10429741299121} is an apocalyptic number.

10429741299121 is the 3229511-st square number.

10429741299121 is the 1614756-th centered octagonal number.

It is an amenable number.

10429741299121 is a deficient number, since it is larger than the sum of its proper divisors (226785953210).

10429741299121 is an frugal number, since it uses more digits than its factorization.

10429741299121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137520 (or 68760 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 10429741299121 in words is "ten trillion, four hundred twenty-nine billion, seven hundred forty-one million, two hundred ninety-nine thousand, one hundred twenty-one".