1002200111121 has 16 divisors (see below), whose sum is σ = 1543495359168. Its totient is φ = 571664947200.

The previous prime is 1002200111117. The next prime is 1002200111123. The reversal of 1002200111121 is 1211110022001.

It is not a de Polignac number, because 1002200111121 - 2² = 1002200111117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002200111097 and 1002200111106.

It is not an unprimeable number, because it can be changed into a prime (1002200111123) 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 15 ways as a sum of consecutive naturals, for example, 893225920 + ... + 893227041.

It is an arithmetic number, because the mean of its divisors is an integer number (96468459948).

Almost surely, 2^{1002200111121} is an apocalyptic number.

1002200111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002200111121 is a deficient number, since it is larger than the sum of its proper divisors (541295248047).

1002200111121 is a wasteful number, since it uses less digits than its factorization.

1002200111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786452992.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002200111121 its reverse (1211110022001), we get a palindrome (2213310133122).

The spelling of 1002200111121 in words is "one trillion, two billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".