10121102110177 has 2 divisors, whose sum is σ = 10121102110178. Its totient is φ = 10121102110176.

The previous prime is 10121102110109. The next prime is 10121102110187. The reversal of 10121102110177 is 77101120112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7842665826576 + 2278436283601 = 2800476^2 + 1509449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121102110177 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121102110187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060551055088 + 5060551055089.

It is an arithmetic number, because the mean of its divisors is an integer number (5060551055089).

Almost surely, 2^{10121102110177} is an apocalyptic number.

It is an amenable number.

10121102110177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121102110177 is an equidigital number, since it uses as much as digits as its factorization.

10121102110177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196, while the sum is 25.

Adding to 10121102110177 its reverse (77101120112101), we get a palindrome (87222222222278).

The spelling of 10121102110177 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, one hundred ten thousand, one hundred seventy-seven".