101123042102441 has 2 divisors, whose sum is σ = 101123042102442. Its totient is φ = 101123042102440.

The previous prime is 101123042102347. The next prime is 101123042102443. The reversal of 101123042102441 is 144201240321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97242851270041 + 3880190832400 = 9861179^2 + 1969820^2 .

It is an emirp because it is prime and its reverse (144201240321101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101123042102441 - 2¹⁸ = 101123041840297 is a prime.

Together with 101123042102443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101123042102441.

It is not a weakly prime, because it can be changed into another prime (101123042102443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561521051220 + 50561521051221.

It is an arithmetic number, because the mean of its divisors is an integer number (50561521051221).

Almost surely, 2^{101123042102441} is an apocalyptic number.

It is an amenable number.

101123042102441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123042102441 is an equidigital number, since it uses as much as digits as its factorization.

101123042102441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101123042102441 its reverse (144201240321101), we get a palindrome (245324282423542).

The spelling of 101123042102441 in words is "one hundred one trillion, one hundred twenty-three billion, forty-two million, one hundred two thousand, four hundred forty-one".