11102112202122 has 24 divisors (see below), whose sum is σ = 24641273425860. Its totient is φ = 3610442992320.

The previous prime is 11102112202061. The next prime is 11102112202127. The reversal of 11102112202122 is 22120221120111.

11102112202122 is a `hidden beast` number, since 1 + 110 + 211 + 220 + 2 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11051828176041 + 50284026081 = 3324429^2 + 224241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11102112202095 and 11102112202104.

It is not an unprimeable number, because it can be changed into a prime (11102112202127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7521755497 + ... + 7521756972.

Almost surely, 2^{11102112202122} is an apocalyptic number.

11102112202122 is an abundant number, since it is smaller than the sum of its proper divisors (13539161223738).

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

11102112202122 is a wasteful number, since it uses less digits than its factorization.

11102112202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043512518 (or 15043512515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102112202122 its reverse (22120221120111), we get a palindrome (33222333322233).

The spelling of 11102112202122 in words is "eleven trillion, one hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twenty-two".