101014223102431 has 2 divisors, whose sum is σ = 101014223102432. Its totient is φ = 101014223102430.

The previous prime is 101014223102389. The next prime is 101014223102453. The reversal of 101014223102431 is 134201322410101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101014223102431 - 2⁹ = 101014223101919 is a prime.

It is a super-2 number, since 2×101014223102431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101014223102396 and 101014223102405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014223102531) 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, 50507111551215 + 50507111551216.

It is an arithmetic number, because the mean of its divisors is an integer number (50507111551216).

Almost surely, 2^{101014223102431} is an apocalyptic number.

101014223102431 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014223102431 is an equidigital number, since it uses as much as digits as its factorization.

101014223102431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 101014223102431 its reverse (134201322410101), we get a palindrome (235215545512532).

The spelling of 101014223102431 in words is "one hundred one trillion, fourteen billion, two hundred twenty-three million, one hundred two thousand, four hundred thirty-one".