101100110257 has 2 divisors, whose sum is σ = 101100110258. Its totient is φ = 101100110256.

The previous prime is 101100110191. The next prime is 101100110323. The reversal of 101100110257 is 752011001101.

It is a balanced prime because it is at equal distance from previous prime (101100110191) and next prime (101100110323).

It can be written as a sum of positive squares in only one way, i.e., 59673206961 + 41426903296 = 244281^2 + 203536^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110257 - 2⁷ = 101100110129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100110857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055128 + 50550055129.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055129).

Almost surely, 2^101100110257 is an apocalyptic number.

It is an amenable number.

101100110257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110257 is an equidigital number, since it uses as much as digits as its factorization.

101100110257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 101100110257 its reverse (752011001101), we get a palindrome (853111111358).

The spelling of 101100110257 in words is "one hundred one billion, one hundred million, one hundred ten thousand, two hundred fifty-seven".