121101211101077 has 2 divisors, whose sum is σ = 121101211101078. Its totient is φ = 121101211101076.

The previous prime is 121101211101037. The next prime is 121101211101113. The reversal of 121101211101077 is 770101112101121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93131011494481 + 27970199606596 = 9650441^2 + 5288686^2 .

It is a cyclic number.

It is not a de Polignac number, because 121101211101077 - 2¹⁰ = 121101211100053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121101211101037) 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, 60550605550538 + 60550605550539.

It is an arithmetic number, because the mean of its divisors is an integer number (60550605550539).

Almost surely, 2^{121101211101077} is an apocalyptic number.

It is an amenable number.

121101211101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101211101077 is an equidigital number, since it uses as much as digits as its factorization.

121101211101077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 26.

Adding to 121101211101077 its reverse (770101112101121), we get a palindrome (891202323202198).

The spelling of 121101211101077 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, seventy-seven".