10101101137 has 2 divisors, whose sum is σ = 10101101138. Its totient is φ = 10101101136.

The previous prime is 10101101069. The next prime is 10101101159. The reversal of 10101101137 is 73110110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7762314816 + 2338786321 = 88104^2 + 48361^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101137 - 2⁷ = 10101101009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101101137.

It is not a weakly prime, because it can be changed into another prime (10101101167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550568 + 5050550569.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550569).

Almost surely, 2^10101101137 is an apocalyptic number.

It is an amenable number.

10101101137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101137 is an equidigital number, since it uses as much as digits as its factorization.

10101101137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 10101101137 its reverse (73110110101), we get a palindrome (83211211238).

The spelling of 10101101137 in words is "ten billion, one hundred one million, one hundred one thousand, one hundred thirty-seven".