100121202202097 has 2 divisors, whose sum is σ = 100121202202098. Its totient is φ = 100121202202096.

The previous prime is 100121202202061. The next prime is 100121202202129. The reversal of 100121202202097 is 790202202121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98595287994256 + 1525914207841 = 9929516^2 + 1235279^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121202202097 - 2¹⁶ = 100121202136561 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121202202027) 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, 50060601101048 + 50060601101049.

It is an arithmetic number, because the mean of its divisors is an integer number (50060601101049).

Almost surely, 2^{100121202202097} is an apocalyptic number.

It is an amenable number.

100121202202097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121202202097 is an equidigital number, since it uses as much as digits as its factorization.

100121202202097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 100121202202097 its reverse (790202202121001), we get a palindrome (890323404323098).

The spelling of 100121202202097 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred two thousand, ninety-seven".