2101202100097 has 2 divisors, whose sum is σ = 2101202100098. Its totient is φ = 2101202100096.

The previous prime is 2101202100071. The next prime is 2101202100121. The reversal of 2101202100097 is 7900012021012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1785548027536 + 315654072561 = 1336244^2 + 561831^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101202100097 - 2¹¹ = 2101202098049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101202100007) 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, 1050601050048 + 1050601050049.

It is an arithmetic number, because the mean of its divisors is an integer number (1050601050049).

Almost surely, 2^{2101202100097} is an apocalyptic number.

It is an amenable number.

2101202100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101202100097 is an equidigital number, since it uses as much as digits as its factorization.

2101202100097 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 25.

The spelling of 2101202100097 in words is "two trillion, one hundred one billion, two hundred two million, one hundred thousand, ninety-seven".