11101211011000 has 256 divisors, whose sum is σ = 29263892336640. Its totient is φ = 3905064000000.

The previous prime is 11101211010997. The next prime is 11101211011043. The reversal of 11101211011000 is 11011210111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221116455 + ... + 1221125545.

It is an arithmetic number, because the mean of its divisors is an integer number (114312079440).

Almost surely, 2^{11101211011000} is an apocalyptic number.

11101211011000 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 11101211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631946168320).

11101211011000 is an abundant number, since it is smaller than the sum of its proper divisors (18162681325640).

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

11101211011000 is a wasteful number, since it uses less digits than its factorization.

11101211011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12721 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11101211011000 its reverse (11011210111), we get a palindrome (11112222221111).

The spelling of 11101211011000 in words is "eleven trillion, one hundred one billion, two hundred eleven million, eleven thousand".