100101000100117 has 2 divisors, whose sum is σ = 100101000100118. Its totient is φ = 100101000100116.

The previous prime is 100101000100081. The next prime is 100101000100159. The reversal of 100101000100117 is 711001000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77213636062641 + 22887364037476 = 8787129^2 + 4784074^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101000100117 - 2²⁷ = 100100865882389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101000100097 and 100101000100106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101000190117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500050058 + 50050500050059.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500050059).

Almost surely, 2^{100101000100117} is an apocalyptic number.

It is an amenable number.

100101000100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000100117 is an equidigital number, since it uses as much as digits as its factorization.

100101000100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 100101000100117 its reverse (711001000101001), we get a palindrome (811102000201118).

The spelling of 100101000100117 in words is "one hundred trillion, one hundred one billion, one hundred thousand, one hundred seventeen".