101111444111137 has 2 divisors, whose sum is σ = 101111444111138. Its totient is φ = 101111444111136.

The previous prime is 101111444111063. The next prime is 101111444111177. The reversal of 101111444111137 is 731111444111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81171432611361 + 19940011499776 = 9009519^2 + 4465424^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111444111137 - 2³¹ = 101109296627489 is a prime.

It is a super-2 number, since 2×101111444111137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101111444111099 and 101111444111108.

It is not a weakly prime, because it can be changed into another prime (101111444111177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555722055568 + 50555722055569.

It is an arithmetic number, because the mean of its divisors is an integer number (50555722055569).

Almost surely, 2^{101111444111137} is an apocalyptic number.

It is an amenable number.

101111444111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111444111137 is an equidigital number, since it uses as much as digits as its factorization.

101111444111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 31.

Adding to 101111444111137 its reverse (731111444111101), we get a palindrome (832222888222238).

The spelling of 101111444111137 in words is "one hundred one trillion, one hundred eleven billion, four hundred forty-four million, one hundred eleven thousand, one hundred thirty-seven".