201011100100001 has 2 divisors, whose sum is σ = 201011100100002. Its totient is φ = 201011100100000.

The previous prime is 201011100099967. The next prime is 201011100100003. The reversal of 201011100100001 is 100001001110102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177657309304225 + 23353790795776 = 13328815^2 + 4832576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201011100100001 is a prime.

Together with 201011100100003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (201011100100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505550050000 + 100505550050001.

It is an arithmetic number, because the mean of its divisors is an integer number (100505550050001).

Almost surely, 2^{201011100100001} is an apocalyptic number.

It is an amenable number.

201011100100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011100100001 is an equidigital number, since it uses as much as digits as its factorization.

201011100100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 201011100100001 its reverse (100001001110102), we get a palindrome (301012101210103).

The spelling of 201011100100001 in words is "two hundred one trillion, eleven billion, one hundred million, one hundred thousand, one".