101085521 has 2 divisors, whose sum is σ = 101085522. Its totient is φ = 101085520.

The previous prime is 101085499. The next prime is 101085527. The reversal of 101085521 is 125580101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78570496 + 22515025 = 8864^2 + 4745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101085521 - 2²² = 96891217 is a prime.

It is not a weakly prime, because it can be changed into another prime (101085527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50542760 + 50542761.

It is an arithmetic number, because the mean of its divisors is an integer number (50542761).

Almost surely, 2^101085521 is an apocalyptic number.

It is an amenable number.

101085521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101085521 is an equidigital number, since it uses as much as digits as its factorization.

101085521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 23.

The square root of 101085521 is about 10054.1295495930. The cubic root of 101085521 is about 465.8323566390.

The spelling of 101085521 in words is "one hundred one million, eighty-five thousand, five hundred twenty-one".