101525600105609 has 2 divisors, whose sum is σ = 101525600105610. Its totient is φ = 101525600105608.

The previous prime is 101525600105581. The next prime is 101525600105651. The reversal of 101525600105609 is 906501006525101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52789451953225 + 48736148152384 = 7265635^2 + 6981128^2 .

It is a cyclic number.

It is not a de Polignac number, because 101525600105609 - 2⁴⁴ = 83933414061193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101525600105689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50762800052804 + 50762800052805.

It is an arithmetic number, because the mean of its divisors is an integer number (50762800052805).

Almost surely, 2^{101525600105609} is an apocalyptic number.

It is an amenable number.

101525600105609 is a deficient number, since it is larger than the sum of its proper divisors (1).

101525600105609 is an equidigital number, since it uses as much as digits as its factorization.

101525600105609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 41.

The spelling of 101525600105609 in words is "one hundred one trillion, five hundred twenty-five billion, six hundred million, one hundred five thousand, six hundred nine".