91001010101 has 2 divisors, whose sum is σ = 91001010102. Its totient is φ = 91001010100.

The previous prime is 91001010007. The next prime is 91001010103. The reversal of 91001010101 is 10101010019.

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., 65441314225 + 25559695876 = 255815^2 + 159874^2 .

It is a cyclic number.

It is not a de Polignac number, because 91001010101 - 2²⁶ = 90933901237 is a prime.

Together with 91001010103, it forms a pair of twin primes.

It is a Chen prime.

91001010101 is a modest number, since divided by 1010101 gives 910 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (91001010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45500505050 + 45500505051.

It is an arithmetic number, because the mean of its divisors is an integer number (45500505051).

Almost surely, 2^91001010101 is an apocalyptic number.

It is an amenable number.

91001010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

91001010101 is an equidigital number, since it uses as much as digits as its factorization.

91001010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 91001010101 in words is "ninety-one billion, one million, ten thousand, one hundred one".