10429205933981 has 2 divisors, whose sum is σ = 10429205933982. Its totient is φ = 10429205933980.

The previous prime is 10429205933921. The next prime is 10429205934023. The reversal of 10429205933981 is 18933950292401.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5215902307225 + 5213303626756 = 2283835^2 + 2283266^2 .

It is a cyclic number.

It is not a de Polignac number, because 10429205933981 - 2³⁸ = 10154328027037 is a prime.

It is a super-2 number, since 2×10429205933981² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10429205933921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5214602966990 + 5214602966991.

It is an arithmetic number, because the mean of its divisors is an integer number (5214602966991).

Almost surely, 2^{10429205933981} is an apocalyptic number.

It is an amenable number.

10429205933981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10429205933981 is an equidigital number, since it uses as much as digits as its factorization.

10429205933981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 10429205933981 in words is "ten trillion, four hundred twenty-nine billion, two hundred five million, nine hundred thirty-three thousand, nine hundred eighty-one".