10002200120100 has 90 divisors (see below), whose sum is σ = 32423181329154. Its totient is φ = 2667253363200.

The previous prime is 10002200120089. The next prime is 10002200120141. The reversal of 10002200120100 is 102100220001.

It can be written as a sum of positive squares in 3 ways, for example, as 75617300196 + 9926582819904 = 274986^2 + 3150648^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 617411661 + ... + 617427860.

Almost surely, 2^{10002200120100} is an apocalyptic number.

10002200120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002200120100 is an abundant number, since it is smaller than the sum of its proper divisors (22420981209054).

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

10002200120100 is a wasteful number, since it uses less digits than its factorization.

10002200120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234839547 (or 1234839531 counting only the distinct ones).

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

Adding to 10002200120100 its reverse (102100220001), we get a palindrome (10104300340101).

Subtracting from 10002200120100 its reverse (102100220001), we obtain a palindrome (9900099900099).

The spelling of 10002200120100 in words is "ten trillion, two billion, two hundred million, one hundred twenty thousand, one hundred".