10129936477 has 2 divisors, whose sum is σ = 10129936478. Its totient is φ = 10129936476.

The previous prime is 10129936471. The next prime is 10129936511. The reversal of 10129936477 is 77463992101.

10129936477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10050263001 + 79673476 = 100251^2 + 8926^2 .

It is a cyclic number.

It is not a de Polignac number, because 10129936477 - 2¹¹ = 10129934429 is a prime.

It is a super-2 number, since 2×10129936477² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10129936477.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10129936471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5064968238 + 5064968239.

It is an arithmetic number, because the mean of its divisors is an integer number (5064968239).

Almost surely, 2^10129936477 is an apocalyptic number.

It is an amenable number.

10129936477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10129936477 is an equidigital number, since it uses as much as digits as its factorization.

10129936477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 10129936477 in words is "ten billion, one hundred twenty-nine million, nine hundred thirty-six thousand, four hundred seventy-seven".