10002221010 has 80 divisors (see below), whose sum is σ = 27550924632. Its totient is φ = 2602195200.

The previous prime is 10002220981. The next prime is 10002221039. The reversal of 10002221010 is 1012220001.

10002221010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002220981) and next prime (10002221039).

It can be written as a sum of positive squares in 4 ways, for example, as 2708890209 + 7293330801 = 52047^2 + 85401^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002220983 and 10002221001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117381 + ... + 183800.

Almost surely, 2^10002221010 is an apocalyptic number.

10002221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002221010 is an abundant number, since it is smaller than the sum of its proper divisors (17548703622).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002221010 is a wasteful number, since it uses less digits than its factorization.

10002221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301241 (or 301232 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002221010 its reverse (1012220001), we get a palindrome (11014441011).

The spelling of 10002221010 in words is "ten billion, two million, two hundred twenty-one thousand, ten".