1012100001097 has 2 divisors, whose sum is σ = 1012100001098. Its totient is φ = 1012100001096.

The previous prime is 1012100001091. The next prime is 1012100001173. The reversal of 1012100001097 is 7901000012101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832055933241 + 180044067856 = 912171^2 + 424316^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012100001097 - 2¹⁵ = 1012099968329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012100001091) 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, 506050000548 + 506050000549.

It is an arithmetic number, because the mean of its divisors is an integer number (506050000549).

Almost surely, 2^{1012100001097} is an apocalyptic number.

It is an amenable number.

1012100001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012100001097 is an equidigital number, since it uses as much as digits as its factorization.

1012100001097 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 22.

Adding to 1012100001097 its reverse (7901000012101), we get a palindrome (8913100013198).

The spelling of 1012100001097 in words is "one trillion, twelve billion, one hundred million, one thousand, ninety-seven".