100000100010001 has 2 divisors, whose sum is σ = 100000100010002. Its totient is φ = 100000100010000.

The previous prime is 100000100009987. The next prime is 100000100010017. The reversal of 100000100010001 is 100010001000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87192641290000 + 12807458720001 = 9337700^2 + 3578751^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000100010001 - 2⁵ = 100000100009969 is a prime.

100000100010001 is a modest number, since divided by 100010001 gives 100 as remainder.

It is not a weakly prime, because it can be changed into another prime (100000100010401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000050005000 + 50000050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (50000050005001).

Almost surely, 2^{100000100010001} is an apocalyptic number.

It is an amenable number.

100000100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000100010001 is an equidigital number, since it uses as much as digits as its factorization.

100000100010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000100010001 its reverse (100010001000001), we get a palindrome (200010101010002).

The spelling of 100000100010001 in words is "one hundred trillion, one hundred million, ten thousand, one".