101022111137 has 2 divisors, whose sum is σ = 101022111138. Its totient is φ = 101022111136.

The previous prime is 101022111067. The next prime is 101022111167. The reversal of 101022111137 is 731111220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50626800016 + 50395311121 = 225004^2 + 224489^2 .

It is an emirp because it is prime and its reverse (731111220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022111137 - 2¹² = 101022107041 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022111167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055568 + 50511055569.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055569).

Almost surely, 2^101022111137 is an apocalyptic number.

It is an amenable number.

101022111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022111137 is an equidigital number, since it uses as much as digits as its factorization.

101022111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 101022111137 its reverse (731111220101), we get a palindrome (832133331238).

The spelling of 101022111137 in words is "one hundred one billion, twenty-two million, one hundred eleven thousand, one hundred thirty-seven".