1102200111121 has 8 divisors (see below), whose sum is σ = 1106532668520. Its totient is φ = 1097870097408.

The previous prime is 1102200111091. The next prime is 1102200111127. The reversal of 1102200111121 is 1211110022011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 468456744721 + 633743366400 = 684439^2 + 796080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1102200111121 - 2²⁷ = 1102065893393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102200111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234735 + ... + 1503163.

It is an arithmetic number, because the mean of its divisors is an integer number (138316583565).

Almost surely, 2^{1102200111121} is an apocalyptic number.

It is an amenable number.

1102200111121 is a deficient number, since it is larger than the sum of its proper divisors (4332557399).

1102200111121 is a wasteful number, since it uses less digits than its factorization.

1102200111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271843.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1102200111121 its reverse (1211110022011), we get a palindrome (2313310133132).

The spelling of 1102200111121 in words is "one trillion, one hundred two billion, two hundred million, one hundred eleven thousand, one hundred twenty-one".