120893628105097 has 2 divisors, whose sum is σ = 120893628105098. Its totient is φ = 120893628105096.

The previous prime is 120893628105071. The next prime is 120893628105101. The reversal of 120893628105097 is 790501826398021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88129211696656 + 32764416408441 = 9387716^2 + 5724021^2 .

It is a cyclic number.

It is not a de Polignac number, because 120893628105097 - 2³¹ = 120891480621449 is a prime.

It is a super-3 number, since 3×120893628105097³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (120893628105697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60446814052548 + 60446814052549.

It is an arithmetic number, because the mean of its divisors is an integer number (60446814052549).

Almost surely, 2^{120893628105097} is an apocalyptic number.

It is an amenable number.

120893628105097 is a deficient number, since it is larger than the sum of its proper divisors (1).

120893628105097 is an equidigital number, since it uses as much as digits as its factorization.

120893628105097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 120893628105097 in words is "one hundred twenty trillion, eight hundred ninety-three billion, six hundred twenty-eight million, one hundred five thousand, ninety-seven".