11001102121212 has 288 divisors, whose sum is σ = 30990199919616. Its totient is φ = 3026448230400.

The previous prime is 11001102121187. The next prime is 11001102121223. The reversal of 11001102121212 is 21212120110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11001102121191 and 11001102121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 699051808 + ... + 699067544.

It is an arithmetic number, because the mean of its divisors is an integer number (107604860832).

Almost surely, 2^{11001102121212} is an apocalyptic number.

11001102121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001102121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495099959808).

11001102121212 is an abundant number, since it is smaller than the sum of its proper divisors (19989097798404).

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

11001102121212 is a wasteful number, since it uses less digits than its factorization.

11001102121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177 (or 16168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001102121212 its reverse (21212120110011), we get a palindrome (32213222231223).

The spelling of 11001102121212 in words is "eleven trillion, one billion, one hundred two million, one hundred twenty-one thousand, two hundred twelve".