100001010116161 has 16 divisors (see below), whose sum is σ = 125441471075328. Its totient is φ = 77444810629200.

The previous prime is 100001010116159. The next prime is 100001010116167. The reversal of 100001010116161 is 161611010100001.

It is a happy number.

It is not a de Polignac number, because 100001010116161 - 2¹ = 100001010116159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001010116167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983774005 + ... + 3983799106.

It is an arithmetic number, because the mean of its divisors is an integer number (7840091942208).

Almost surely, 2^{100001010116161} is an apocalyptic number.

100001010116161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001010116161 is a deficient number, since it is larger than the sum of its proper divisors (25440460959167).

100001010116161 is a wasteful number, since it uses less digits than its factorization.

100001010116161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7967573292.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100001010116161 its reverse (161611010100001), we get a palindrome (261612020216162).

The spelling of 100001010116161 in words is "one hundred trillion, one billion, ten million, one hundred sixteen thousand, one hundred sixty-one".