10121121220577 has 2 divisors, whose sum is σ = 10121121220578. Its totient is φ = 10121121220576.

The previous prime is 10121121220513. The next prime is 10121121220589. The reversal of 10121121220577 is 77502212112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9951999593041 + 169121627536 = 3154679^2 + 411244^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121121220577 - 2⁶ = 10121121220513 is a prime.

It is a super-2 number, since 2×10121121220577² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121121220877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060560610288 + 5060560610289.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560610289).

Almost surely, 2^{10121121220577} is an apocalyptic number.

It is an amenable number.

10121121220577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121121220577 is an equidigital number, since it uses as much as digits as its factorization.

10121121220577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 32.

Adding to 10121121220577 its reverse (77502212112101), we get a palindrome (87623333332678).

The spelling of 10121121220577 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, five hundred seventy-seven".