101131042411027 has 2 divisors, whose sum is σ = 101131042411028. Its totient is φ = 101131042411026.

The previous prime is 101131042411013. The next prime is 101131042411037. The reversal of 101131042411027 is 720114240131101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101131042411027 is a prime.

It is a super-2 number, since 2×101131042411027² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101131042410986 and 101131042411004.

It is not a weakly prime, because it can be changed into another prime (101131042411037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565521205513 + 50565521205514.

It is an arithmetic number, because the mean of its divisors is an integer number (50565521205514).

Almost surely, 2^{101131042411027} is an apocalyptic number.

101131042411027 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131042411027 is an equidigital number, since it uses as much as digits as its factorization.

101131042411027 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 28.

Adding to 101131042411027 its reverse (720114240131101), we get a palindrome (821245282542128).

The spelling of 101131042411027 in words is "one hundred one trillion, one hundred thirty-one billion, forty-two million, four hundred eleven thousand, twenty-seven".