101404321242031 has 2 divisors, whose sum is σ = 101404321242032. Its totient is φ = 101404321242030.

The previous prime is 101404321241983. The next prime is 101404321242101. The reversal of 101404321242031 is 130242123404101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101404321242031 is a prime.

It is a super-3 number, since 3×101404321242031³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101404321242431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702160621015 + 50702160621016.

It is an arithmetic number, because the mean of its divisors is an integer number (50702160621016).

Almost surely, 2^{101404321242031} is an apocalyptic number.

101404321242031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101404321242031 is an equidigital number, since it uses as much as digits as its factorization.

101404321242031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101404321242031 its reverse (130242123404101), we get a palindrome (231646444646132).

The spelling of 101404321242031 in words is "one hundred one trillion, four hundred four billion, three hundred twenty-one million, two hundred forty-two thousand, thirty-one".