101121211993097 has 2 divisors, whose sum is σ = 101121211993098. Its totient is φ = 101121211993096.

The previous prime is 101121211993019. The next prime is 101121211993159. The reversal of 101121211993097 is 790399112121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83025555290896 + 18095656702201 = 9111836^2 + 4253899^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121211993097 - 2²⁴ = 101121195215881 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121211999097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560605996548 + 50560605996549.

It is an arithmetic number, because the mean of its divisors is an integer number (50560605996549).

Almost surely, 2^{101121211993097} is an apocalyptic number.

It is an amenable number.

101121211993097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121211993097 is an equidigital number, since it uses as much as digits as its factorization.

101121211993097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 47.

The spelling of 101121211993097 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, nine hundred ninety-three thousand, ninety-seven".