2011001020097 has 2 divisors, whose sum is σ = 2011001020098. Its totient is φ = 2011001020096.

The previous prime is 2011001020051. The next prime is 2011001020121. The reversal of 2011001020097 is 7900201001102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1890009050176 + 120991969921 = 1374776^2 + 347839^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011001020097 - 2¹² = 2011001016001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011001020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005500510048 + 1005500510049.

It is an arithmetic number, because the mean of its divisors is an integer number (1005500510049).

Almost surely, 2^{2011001020097} is an apocalyptic number.

It is an amenable number.

2011001020097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011001020097 is an equidigital number, since it uses as much as digits as its factorization.

2011001020097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 2011001020097 its reverse (7900201001102), we get a palindrome (9911202021199).

The spelling of 2011001020097 in words is "two trillion, eleven billion, one million, twenty thousand, ninety-seven".