11001120100212 has 96 divisors (see below), whose sum is σ = 28774837977984. Its totient is φ = 3241864512000.

The previous prime is 11001120100199. The next prime is 11001120100237. The reversal of 11001120100212 is 21200102110011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8692038 + ... + 9876930.

It is an arithmetic number, because the mean of its divisors is an integer number (299737895604).

Almost surely, 2^{11001120100212} is an apocalyptic number.

11001120100212 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 11001120100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387418988992).

11001120100212 is an abundant number, since it is smaller than the sum of its proper divisors (17773717877772).

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

11001120100212 is a wasteful number, since it uses less digits than its factorization.

11001120100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186849 (or 1186847 counting only the distinct ones).

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

Adding to 11001120100212 its reverse (21200102110011), we get a palindrome (32201222210223).

The spelling of 11001120100212 in words is "eleven trillion, one billion, one hundred twenty million, one hundred thousand, two hundred twelve".