10121217077 has 2 divisors, whose sum is σ = 10121217078. Its totient is φ = 10121217076.

The previous prime is 10121217017. The next prime is 10121217083. The reversal of 10121217077 is 77071212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6057664561 + 4063552516 = 77831^2 + 63746^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121217077 - 2¹⁴ = 10121200693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121217017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060608538 + 5060608539.

It is an arithmetic number, because the mean of its divisors is an integer number (5060608539).

Almost surely, 2^10121217077 is an apocalyptic number.

It is an amenable number.

10121217077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121217077 is an equidigital number, since it uses as much as digits as its factorization.

10121217077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1372, while the sum is 29.

Adding to 10121217077 its reverse (77071212101), we get a palindrome (87192429178).

The spelling of 10121217077 in words is "ten billion, one hundred twenty-one million, two hundred seventeen thousand, seventy-seven".