101052521 has 2 divisors, whose sum is σ = 101052522. Its totient is φ = 101052520.

The previous prime is 101052517. The next prime is 101052527. The reversal of 101052521 is 125250101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96746896 + 4305625 = 9836^2 + 2075^2 .

It is a cyclic number.

It is not a de Polignac number, because 101052521 - 2² = 101052517 is a prime.

It is a super-2 number, since 2×101052521² = 20423224000910882, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 101052521.

It is not a weakly prime, because it can be changed into another prime (101052527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526260 + 50526261.

It is an arithmetic number, because the mean of its divisors is an integer number (50526261).

Almost surely, 2^101052521 is an apocalyptic number.

It is an amenable number.

101052521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101052521 is an equidigital number, since it uses as much as digits as its factorization.

101052521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 101052521 is about 10052.4882989238. The cubic root of 101052521 is about 465.7816598273.

The spelling of 101052521 in words is "one hundred one million, fifty-two thousand, five hundred twenty-one".