101101110111137 has 2 divisors, whose sum is σ = 101101110111138. Its totient is φ = 101101110111136.

The previous prime is 101101110111091. The next prime is 101101110111149. The reversal of 101101110111137 is 731111011101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89947754478241 + 11153355632896 = 9484079^2 + 3339664^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101110111137 - 2²⁴ = 101101093333921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101110111167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555055568 + 50550555055569.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555055569).

Almost surely, 2^{101101110111137} is an apocalyptic number.

It is an amenable number.

101101110111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110111137 is an equidigital number, since it uses as much as digits as its factorization.

101101110111137 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 20.

Adding to 101101110111137 its reverse (731111011101101), we get a palindrome (832212121212238).

The spelling of 101101110111137 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred thirty-seven".