10129076429642 has 16 divisors (see below), whose sum is σ = 15401087620200. Its totient is φ = 4995753374400.

The previous prime is 10129076429639. The next prime is 10129076429657. The reversal of 10129076429642 is 24692467092101.

It is a happy number.

It is a Cunningham number, because it is equal to 3182621²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 10129076429641 + 1 = 3182621^2 + 1^2 .

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 93150017 + ... + 93258692.

Almost surely, 2^{10129076429642} is an apocalyptic number.

10129076429642 is a deficient number, since it is larger than the sum of its proper divisors (5272011190558).

10129076429642 is a wasteful number, since it uses less digits than its factorization.

10129076429642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186409081.

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 10129076429642 in words is "ten trillion, one hundred twenty-nine billion, seventy-six million, four hundred twenty-nine thousand, six hundred forty-two".