101225524502101 has 2 divisors, whose sum is σ = 101225524502102. Its totient is φ = 101225524502100.

The previous prime is 101225524502087. The next prime is 101225524502161. The reversal of 101225524502101 is 101205425522101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101198167672900 + 27356829201 = 10059730^2 + 165399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101225524502101 - 2¹¹ = 101225524500053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101225524502161) 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, 50612762251050 + 50612762251051.

It is an arithmetic number, because the mean of its divisors is an integer number (50612762251051).

Almost surely, 2^{101225524502101} is an apocalyptic number.

It is an amenable number.

101225524502101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101225524502101 is an equidigital number, since it uses as much as digits as its factorization.

101225524502101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 101225524502101 in words is "one hundred one trillion, two hundred twenty-five billion, five hundred twenty-four million, five hundred two thousand, one hundred one".