121101101121001 has 2 divisors, whose sum is σ = 121101101121002. Its totient is φ = 121101101121000.

The previous prime is 121101101120929. The next prime is 121101101121023. The reversal of 121101101121001 is 100121101101121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73570487000976 + 47530614120025 = 8577324^2 + 6894245^2 .

It is a cyclic number.

It is not a de Polignac number, because 121101101121001 - 2¹⁷ = 121101100989929 is a prime.

It is not a weakly prime, because it can be changed into another prime (121101101121061) 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, 60550550560500 + 60550550560501.

It is an arithmetic number, because the mean of its divisors is an integer number (60550550560501).

Almost surely, 2^{121101101121001} is an apocalyptic number.

It is an amenable number.

121101101121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101101121001 is an equidigital number, since it uses as much as digits as its factorization.

121101101121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 121101101121001 its reverse (100121101101121), we get a palindrome (221222202222122).

The spelling of 121101101121001 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one".