10002200201010 has 96 divisors (see below), whose sum is σ = 26140905750960. Its totient is φ = 2653415276544.

The previous prime is 10002200200987. The next prime is 10002200201017. The reversal of 10002200201010 is 1010200220001.

It can be written as a sum of positive squares in 8 ways, for example, as 8717829044409 + 1284371156601 = 2952597^2 + 1133301^2 .

It is a super-2 number, since 2×10002200201010² (a number of 27 digits) contains 22 as substring.

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 = 10002200200983 and 10002200201001.

It is not an unprimeable number, because it can be changed into a prime (10002200201017) 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 47 ways as a sum of consecutive naturals, for example, 17505804 + ... + 18068136.

Almost surely, 2^{10002200201010} is an apocalyptic number.

10002200201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002200201010 is an abundant number, since it is smaller than the sum of its proper divisors (16138705549950).

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

10002200201010 is a wasteful number, since it uses less digits than its factorization.

10002200201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563372 (or 563369 counting only the distinct ones).

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

Adding to 10002200201010 its reverse (1010200220001), we get a palindrome (11012400421011).

The spelling of 10002200201010 in words is "ten trillion, two billion, two hundred million, two hundred one thousand, ten".