101250450123541 has 2 divisors, whose sum is σ = 101250450123542. Its totient is φ = 101250450123540.

The previous prime is 101250450123539. The next prime is 101250450123547. The reversal of 101250450123541 is 145321054052101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89047626615025 + 12202823508516 = 9436505^2 + 3493254^2 .

It is an emirp because it is prime and its reverse (145321054052101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101250450123541 - 2¹ = 101250450123539 is a prime.

Together with 101250450123539, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101250450123497 and 101250450123506.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101250450123547) 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, 50625225061770 + 50625225061771.

It is an arithmetic number, because the mean of its divisors is an integer number (50625225061771).

Almost surely, 2^{101250450123541} is an apocalyptic number.

It is an amenable number.

101250450123541 is a deficient number, since it is larger than the sum of its proper divisors (1).

101250450123541 is an equidigital number, since it uses as much as digits as its factorization.

101250450123541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 101250450123541 in words is "one hundred one trillion, two hundred fifty billion, four hundred fifty million, one hundred twenty-three thousand, five hundred forty-one".