10129448921787 has 64 divisors (see below), whose sum is σ = 16225476341760. Its totient is φ = 6208659165312.

The previous prime is 10129448921771. The next prime is 10129448921821. The reversal of 10129448921787 is 78712984492101.

10129448921787 is a `hidden beast` number, since 1 + 0 + 1 + 29 + 448 + 92 + 1 + 7 + 87 = 666.

It is not a de Polignac number, because 10129448921787 - 2⁴ = 10129448921771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10129448921717) 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 63 ways as a sum of consecutive naturals, for example, 102617818 + ... + 102716480.

It is an arithmetic number, because the mean of its divisors is an integer number (253523067840).

Almost surely, 2^{10129448921787} is an apocalyptic number.

10129448921787 is a deficient number, since it is larger than the sum of its proper divisors (6096027419973).

10129448921787 is a wasteful number, since it uses less digits than its factorization.

10129448921787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99849 (or 99843 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 10129448921787 in words is "ten trillion, one hundred twenty-nine billion, four hundred forty-eight million, nine hundred twenty-one thousand, seven hundred eighty-seven".