101122561 has 4 divisors (see below), whose sum is σ = 101516292. Its totient is φ = 100728832.

The previous prime is 101122547. The next prime is 101122603. The reversal of 101122561 is 165221101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51208336 + 49914225 = 7156^2 + 7065^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122561 - 2⁵ = 101122529 is a prime.

It is a super-3 number, since 3×101122561³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196480 + ... + 196993.

It is an arithmetic number, because the mean of its divisors is an integer number (25379073).

Almost surely, 2^101122561 is an apocalyptic number.

It is an amenable number.

101122561 is a deficient number, since it is larger than the sum of its proper divisors (393731).

101122561 is an equidigital number, since it uses as much as digits as its factorization.

101122561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393730.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 101122561 is about 10055.9714100628. The cubic root of 101122561 is about 465.8892468289.

Adding to 101122561 its reverse (165221101), we get a palindrome (266343662).

The spelling of 101122561 in words is "one hundred one million, one hundred twenty-two thousand, five hundred sixty-one".