10055840221 has 24 divisors (see below), whose sum is σ = 12417944760. Its totient is φ = 8091159552.

The previous prime is 10055840213. The next prime is 10055840227. The reversal of 10055840221 is 12204855001.

It can be written as a sum of positive squares in 4 ways, for example, as 2214737721 + 7841102500 = 47061^2 + 88550^2 .

It is not a de Polignac number, because 10055840221 - 2³ = 10055840213 is a prime.

It is a super-2 number, since 2×10055840221² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10055840221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055840227) 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, 308521 + ... + 339553.

It is an arithmetic number, because the mean of its divisors is an integer number (517414365).

Almost surely, 2^10055840221 is an apocalyptic number.

It is an amenable number.

10055840221 is a deficient number, since it is larger than the sum of its proper divisors (2362104539).

10055840221 is a wasteful number, since it uses less digits than its factorization.

10055840221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31453 (or 31446 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 10055840221 in words is "ten billion, fifty-five million, eight hundred forty thousand, two hundred twenty-one".