101521161 has 64 divisors (see below), whose sum is σ = 191692800. Its totient is φ = 51694848.

The previous prime is 101521157. The next prime is 101521177. The reversal of 101521161 is 161125101.

It is a happy number.

It is not a de Polignac number, because 101521161 - 2² = 101521157 is a prime.

It is a super-2 number, since 2×101521161² = 20613092261575842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101521111) 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 in 63 ways as a sum of consecutive naturals, for example, 60216 + ... + 61878.

It is an arithmetic number, because the mean of its divisors is an integer number (2995200).

Almost surely, 2^101521161 is an apocalyptic number.

It is an amenable number.

101521161 is a deficient number, since it is larger than the sum of its proper divisors (90171639).

101521161 is a wasteful number, since it uses less digits than its factorization.

101521161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 101521161 is about 10075.7709878699. The cubic root of 101521161 is about 466.5005841537.

Adding to 101521161 its reverse (161125101), we get a palindrome (262646262).

The spelling of 101521161 in words is "one hundred one million, five hundred twenty-one thousand, one hundred sixty-one".