9100028100001 has 2 divisors, whose sum is σ = 9100028100002. Its totient is φ = 9100028100000.

The previous prime is 9100028099999. The next prime is 9100028100043. The reversal of 9100028100001 is 1000018200019.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9075668382225 + 24359717776 = 3012585^2 + 156076^2 .

It is an emirp because it is prime and its reverse (1000018200019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9100028100001 - 2¹ = 9100028099999 is a prime.

It is a super-2 number, since 2×9100028100001² (a number of 27 digits) contains 22 as substring.

Together with 9100028099999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9100028100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550014050000 + 4550014050001.

It is an arithmetic number, because the mean of its divisors is an integer number (4550014050001).

Almost surely, 2^{9100028100001} is an apocalyptic number.

It is an amenable number.

9100028100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100028100001 is an equidigital number, since it uses as much as digits as its factorization.

9100028100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 9100028 and 100001, that added together give a palindrome (9200029).

The spelling of 9100028100001 in words is "nine trillion, one hundred billion, twenty-eight million, one hundred thousand, one".