100010120117161 has 16 divisors (see below), whose sum is σ = 103230288207360. Its totient is φ = 96840372807360.

The previous prime is 100010120117099. The next prime is 100010120117189. The reversal of 100010120117161 is 161711021010001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010120117161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010120117561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4953316 + ... + 14985178.

It is an arithmetic number, because the mean of its divisors is an integer number (6451893012960).

Almost surely, 2^{100010120117161} is an apocalyptic number.

It is an amenable number.

100010120117161 is a deficient number, since it is larger than the sum of its proper divisors (3220168090199).

100010120117161 is a wasteful number, since it uses less digits than its factorization.

100010120117161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034376.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 100010120117161 its reverse (161711021010001), we get a palindrome (261721141127162).

The spelling of 100010120117161 in words is "one hundred trillion, ten billion, one hundred twenty million, one hundred seventeen thousand, one hundred sixty-one".