10101110110057 has 2 divisors, whose sum is σ = 10101110110058. Its totient is φ = 10101110110056.

The previous prime is 10101110109983. The next prime is 10101110110061. The reversal of 10101110110057 is 75001101110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9840041229456 + 261068880601 = 3136884^2 + 510949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101110110057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101110110087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555055028 + 5050555055029.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555055029).

Almost surely, 2^{10101110110057} is an apocalyptic number.

It is an amenable number.

10101110110057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101110110057 is an equidigital number, since it uses as much as digits as its factorization.

10101110110057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 19.

Adding to 10101110110057 its reverse (75001101110101), we get a palindrome (85102211220158).

The spelling of 10101110110057 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, fifty-seven".