2011101022097 has 2 divisors, whose sum is σ = 2011101022098. Its totient is φ = 2011101022096.

The previous prime is 2011101021973. The next prime is 2011101022121. The reversal of 2011101022097 is 7902201011102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1983184961536 + 27916060561 = 1408256^2 + 167081^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011101022097 - 2¹⁰ = 2011101021073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011101922097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005550511048 + 1005550511049.

It is an arithmetic number, because the mean of its divisors is an integer number (1005550511049).

Almost surely, 2^{2011101022097} is an apocalyptic number.

It is an amenable number.

2011101022097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011101022097 is an equidigital number, since it uses as much as digits as its factorization.

2011101022097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 2011101022097 its reverse (7902201011102), we get a palindrome (9913302033199).

The spelling of 2011101022097 in words is "two trillion, eleven billion, one hundred one million, twenty-two thousand, ninety-seven".