1002000100097 has 2 divisors, whose sum is σ = 1002000100098. Its totient is φ = 1002000100096.

The previous prime is 1002000100061. The next prime is 1002000100183. The reversal of 1002000100097 is 7900010002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 988441593616 + 13558506481 = 994204^2 + 116441^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002000100097 - 2³⁸ = 727122193153 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002000100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000050048 + 501000050049.

It is an arithmetic number, because the mean of its divisors is an integer number (501000050049).

Almost surely, 2^{1002000100097} is an apocalyptic number.

It is an amenable number.

1002000100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000100097 is an equidigital number, since it uses as much as digits as its factorization.

1002000100097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

Adding to 1002000100097 its reverse (7900010002001), we get a palindrome (8902010102098).

The spelling of 1002000100097 in words is "one trillion, two billion, one hundred thousand, ninety-seven".