10123543002541 has 2 divisors, whose sum is σ = 10123543002542. Its totient is φ = 10123543002540.

The previous prime is 10123543002539. The next prime is 10123543002553. The reversal of 10123543002541 is 14520034532101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9921271538025 + 202271464516 = 3149805^2 + 449746^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123543002541 - 2¹ = 10123543002539 is a prime.

It is a super-2 number, since 2×10123543002541² (a number of 27 digits) contains 22 as substring.

Together with 10123543002539, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123543002241) 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, 5061771501270 + 5061771501271.

It is an arithmetic number, because the mean of its divisors is an integer number (5061771501271).

Almost surely, 2^{10123543002541} is an apocalyptic number.

It is an amenable number.

10123543002541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123543002541 is an equidigital number, since it uses as much as digits as its factorization.

10123543002541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 10123543002541 its reverse (14520034532101), we get a palindrome (24643577534642).

The spelling of 10123543002541 in words is "ten trillion, one hundred twenty-three billion, five hundred forty-three million, two thousand, five hundred forty-one".