1102200011121 has 24 divisors (see below), whose sum is σ = 1621487609280. Its totient is φ = 665460025120.

The previous prime is 1102200011117. The next prime is 1102200011131. The reversal of 1102200011121 is 1211100022011.

It is not a de Polignac number, because 1102200011121 - 2² = 1102200011117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102200011097 and 1102200011106.

It is not an unprimeable number, because it can be changed into a prime (1102200011111) 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 23 ways as a sum of consecutive naturals, for example, 5677086 + ... + 5868023.

It is an arithmetic number, because the mean of its divisors is an integer number (67561983720).

Almost surely, 2^{1102200011121} is an apocalyptic number.

1102200011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102200011121 is a deficient number, since it is larger than the sum of its proper divisors (519287598159).

1102200011121 is a wasteful number, since it uses less digits than its factorization.

1102200011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545397 (or 11545386 counting only the distinct ones).

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

Adding to 1102200011121 its reverse (1211100022011), we get a palindrome (2313300033132).

The spelling of 1102200011121 in words is "one trillion, one hundred two billion, two hundred million, eleven thousand, one hundred twenty-one".