122541025333541 has 2 divisors, whose sum is σ = 122541025333542. Its totient is φ = 122541025333540.

The previous prime is 122541025333453. The next prime is 122541025333583. The reversal of 122541025333541 is 145333520145221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119663690028100 + 2877335305441 = 10939090^2 + 1696271^2 .

It is an emirp because it is prime and its reverse (145333520145221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122541025333541 - 2¹⁸ = 122541025071397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122541025339541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61270512666770 + 61270512666771.

It is an arithmetic number, because the mean of its divisors is an integer number (61270512666771).

Almost surely, 2^{122541025333541} is an apocalyptic number.

It is an amenable number.

122541025333541 is a deficient number, since it is larger than the sum of its proper divisors (1).

122541025333541 is an equidigital number, since it uses as much as digits as its factorization.

122541025333541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 122541025333541 its reverse (145333520145221), we get a palindrome (267874545478762).

The spelling of 122541025333541 in words is "one hundred twenty-two trillion, five hundred forty-one billion, twenty-five million, three hundred thirty-three thousand, five hundred forty-one".