100121121104617 has 2 divisors, whose sum is σ = 100121121104618. Its totient is φ = 100121121104616.

The previous prime is 100121121104593. The next prime is 100121121104687. The reversal of 100121121104617 is 716401121121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86214270506896 + 13906850597721 = 9285164^2 + 3729189^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121121104617 - 2⁷ = 100121121104489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121121104687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060560552308 + 50060560552309.

It is an arithmetic number, because the mean of its divisors is an integer number (50060560552309).

Almost surely, 2^{100121121104617} is an apocalyptic number.

It is an amenable number.

100121121104617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121121104617 is an equidigital number, since it uses as much as digits as its factorization.

100121121104617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 28.

Adding to 100121121104617 its reverse (716401121121001), we get a palindrome (816522242225618).

The spelling of 100121121104617 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred four thousand, six hundred seventeen".