101121120121097 has 2 divisors, whose sum is σ = 101121120121098. Its totient is φ = 101121120121096.

The previous prime is 101121120121057. The next prime is 101121120121253. The reversal of 101121120121097 is 790121021121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84510311316601 + 16610808804496 = 9192949^2 + 4075636^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121120121097 - 2³⁰ = 101120046379273 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121120121037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560560060548 + 50560560060549.

It is an arithmetic number, because the mean of its divisors is an integer number (50560560060549).

Almost surely, 2^{101121120121097} is an apocalyptic number.

It is an amenable number.

101121120121097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121120121097 is an equidigital number, since it uses as much as digits as its factorization.

101121120121097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 29.

Adding to 101121120121097 its reverse (790121021121101), we get a palindrome (891242141242198).

The spelling of 101121120121097 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, ninety-seven".