11101210000000 has 256 divisors, whose sum is σ = 27712054056960. Its totient is φ = 4429648000000.

The previous prime is 11101209999991. The next prime is 11101210000007. The reversal of 11101210000000 is 1210111.

It is not an unprimeable number, because it can be changed into a prime (11101210000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5029998897 + ... + 5030001103.

It is an arithmetic number, because the mean of its divisors is an integer number (108250211160).

Almost surely, 2^{11101210000000} is an apocalyptic number.

11101210000000 is a gapful number since it is divisible by the number (10) 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 11101210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856027028480).

11101210000000 is an abundant number, since it is smaller than the sum of its proper divisors (16610844056960).

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

11101210000000 is an frugal number, since it uses more digits than its factorization.

11101210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11101210000000 its reverse (1210111), we get a palindrome (11101211210111).

The spelling of 11101210000000 in words is "eleven trillion, one hundred one billion, two hundred ten million", and thus it is an aban number.