10000220100010 has 48 divisors (see below), whose sum is σ = 20984658183720. Its totient is φ = 3421209402240.

The previous prime is 10000220100001. The next prime is 10000220100011. The reversal of 10000220100010 is 1000102200001.

It can be written as a sum of positive squares in 4 ways, for example, as 6411616501689 + 3588603598321 = 2532117^2 + 1894361^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10000220099966 and 10000220100002.

It is not an unprimeable number, because it can be changed into a prime (10000220100011) 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 23 ways as a sum of consecutive naturals, for example, 21909265 + ... + 22361044.

Almost surely, 2^{10000220100010} is an apocalyptic number.

10000220100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000220100010 is an abundant number, since it is smaller than the sum of its proper divisors (10984438083710).

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

10000220100010 is a wasteful number, since it uses less digits than its factorization.

10000220100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44270791 (or 44270784 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000220100010 its reverse (1000102200001), we get a palindrome (11000322300011).

The spelling of 10000220100010 in words is "ten trillion, two hundred twenty million, one hundred thousand, ten".