101051521 has 2 divisors, whose sum is σ = 101051522. Its totient is φ = 101051520.

The previous prime is 101051513. The next prime is 101051527. The reversal of 101051521 is 125150101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74580496 + 26471025 = 8636^2 + 5145^2 .

It is a cyclic number.

It is not a de Polignac number, because 101051521 - 2³ = 101051513 is a prime.

It is a super-2 number, since 2×101051521² = 20422819792826882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101051495 and 101051504.

It is not a weakly prime, because it can be changed into another prime (101051527) 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, 50525760 + 50525761.

It is an arithmetic number, because the mean of its divisors is an integer number (50525761).

Almost surely, 2^101051521 is an apocalyptic number.

It is an amenable number.

101051521 is a deficient number, since it is larger than the sum of its proper divisors (1).

101051521 is an equidigital number, since it uses as much as digits as its factorization.

101051521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 101051521 is about 10052.4385598719. The cubic root of 101051521 is about 465.7801233880.

The spelling of 101051521 in words is "one hundred one million, fifty-one thousand, five hundred twenty-one".