101053263321 has 24 divisors (see below), whose sum is σ = 146411545280. Its totient is φ = 67163263776.

The previous prime is 101053263301. The next prime is 101053263343. The reversal of 101053263321 is 123362350101.

101053263321 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 3 + 2 + 633 + 21 = 666.

It is not a de Polignac number, because 101053263321 - 2⁷ = 101053263193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101053263301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15126660 + ... + 15133338.

Almost surely, 2^101053263321 is an apocalyptic number.

It is an amenable number.

101053263321 is a deficient number, since it is larger than the sum of its proper divisors (45358281959).

101053263321 is a wasteful number, since it uses less digits than its factorization.

101053263321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 101053263321 in words is "one hundred one billion, fifty-three million, two hundred sixty-three thousand, three hundred twenty-one".