101013112177 has 2 divisors, whose sum is σ = 101013112178. Its totient is φ = 101013112176.

The previous prime is 101013112171. The next prime is 101013112217. The reversal of 101013112177 is 771211310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61866115441 + 39146996736 = 248729^2 + 197856^2 .

It is an emirp because it is prime and its reverse (771211310101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101013112177 - 2³ = 101013112169 is a prime.

It is not a weakly prime, because it can be changed into another prime (101013112171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506556088 + 50506556089.

It is an arithmetic number, because the mean of its divisors is an integer number (50506556089).

Almost surely, 2^101013112177 is an apocalyptic number.

It is an amenable number.

101013112177 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013112177 is an equidigital number, since it uses as much as digits as its factorization.

101013112177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 25.

Adding to 101013112177 its reverse (771211310101), we get a palindrome (872224422278).

The spelling of 101013112177 in words is "one hundred one billion, thirteen million, one hundred twelve thousand, one hundred seventy-seven".