100142603317167 has 16 divisors (see below), whose sum is σ = 136196812210560. Its totient is φ = 65431902175200.

The previous prime is 100142603317147. The next prime is 100142603317187. The reversal of 100142603317167 is 761713306241001.

It is an interprime number because it is at equal distance from previous prime (100142603317147) and next prime (100142603317187).

It is not a de Polignac number, because 100142603317167 - 2¹⁰ = 100142603316143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142603317147) 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 15 ways as a sum of consecutive naturals, for example, 854590084 + ... + 854707257.

It is an arithmetic number, because the mean of its divisors is an integer number (8512300763160).

Almost surely, 2^{100142603317167} is an apocalyptic number.

100142603317167 is a deficient number, since it is larger than the sum of its proper divisors (36054208893393).

100142603317167 is a wasteful number, since it uses less digits than its factorization.

100142603317167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709297734.

The product of its (nonzero) digits is 127008, while the sum is 42.

Adding to 100142603317167 its reverse (761713306241001), we get a palindrome (861855909558168).

The spelling of 100142603317167 in words is "one hundred trillion, one hundred forty-two billion, six hundred three million, three hundred seventeen thousand, one hundred sixty-seven".