11101101102000 has 480 divisors, whose sum is σ = 47719940311680. Its totient is φ = 2342209996800.

The previous prime is 11101101101897. The next prime is 11101101102017. The reversal of 11101101102000 is 20110110111.

It is a super-2 number, since 2×11101101102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1750615 + ... + 5026614.

It is an arithmetic number, because the mean of its divisors is an integer number (99416542316).

Almost surely, 2^{11101101102000} is an apocalyptic number.

11101101102000 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 11101101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859970155840).

11101101102000 is an abundant number, since it is smaller than the sum of its proper divisors (36618839209680).

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

11101101102000 is a wasteful number, since it uses less digits than its factorization.

11101101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777278 (or 6777259 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101101102000 its reverse (20110110111), we get a palindrome (11121211212111).

The spelling of 11101101102000 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred two thousand".