1001002200103 has 32 divisors (see below), whose sum is σ = 1072708116480. Its totient is φ = 930799710720.

The previous prime is 1001002200089. The next prime is 1001002200109. The reversal of 1001002200103 is 3010022001001.

It is not a de Polignac number, because 1001002200103 - 2²¹ = 1001000102951 is a prime.

It is a super-2 number, since 2×1001002200103² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001002200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002200109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 535008258 + ... + 535010128.

It is an arithmetic number, because the mean of its divisors is an integer number (33522128640).

Almost surely, 2^{1001002200103} is an apocalyptic number.

1001002200103 is a deficient number, since it is larger than the sum of its proper divisors (71705916377).

1001002200103 is a wasteful number, since it uses less digits than its factorization.

1001002200103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1001002200103 its reverse (3010022001001), we get a palindrome (4011024201104).

The spelling of 1001002200103 in words is "one trillion, one billion, two million, two hundred thousand, one hundred three".