41234414312101 has 2 divisors, whose sum is σ = 41234414312102. Its totient is φ = 41234414312100.

The previous prime is 41234414312033. The next prime is 41234414312111. The reversal of 41234414312101 is 10121341443214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30931405683201 + 10303008628900 = 5561601^2 + 3209830^2 .

It is a cyclic number.

It is not a de Polignac number, because 41234414312101 - 2⁷ = 41234414311973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41234414312111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20617207156050 + 20617207156051.

It is an arithmetic number, because the mean of its divisors is an integer number (20617207156051).

Almost surely, 2^{41234414312101} is an apocalyptic number.

It is an amenable number.

41234414312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41234414312101 is an equidigital number, since it uses as much as digits as its factorization.

41234414312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 41234414312101 its reverse (10121341443214), we get a palindrome (51355755755315).

The spelling of 41234414312101 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred twelve thousand, one hundred one".