101053521561 has 8 divisors (see below), whose sum is σ = 134788484224. Its totient is φ = 67343786640.

The previous prime is 101053521551. The next prime is 101053521563. The reversal of 101053521561 is 165125350101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101053521561 - 2⁵ = 101053521529 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101053521563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6297586 + ... + 6313611.

It is an arithmetic number, because the mean of its divisors is an integer number (16848560528).

Almost surely, 2^101053521561 is an apocalyptic number.

It is an amenable number.

101053521561 is a deficient number, since it is larger than the sum of its proper divisors (33734962663).

101053521561 is a wasteful number, since it uses less digits than its factorization.

101053521561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613871.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 101053521561 its reverse (165125350101), we get a palindrome (266178871662).

The spelling of 101053521561 in words is "one hundred one billion, fifty-three million, five hundred twenty-one thousand, five hundred sixty-one".