11221101121100 has 144 divisors (see below), whose sum is σ = 26517978324096. Its totient is φ = 4096656000000.

The previous prime is 11221101121079. The next prime is 11221101121141. The reversal of 11221101121100 is 112110112211.

It is a super-2 number, since 2×11221101121100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 98549402 + ... + 98663198.

Almost surely, 2^{11221101121100} is an apocalyptic number.

11221101121100 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 11221101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258989162048).

11221101121100 is an abundant number, since it is smaller than the sum of its proper divisors (15296877202996).

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

11221101121100 is a wasteful number, since it uses less digits than its factorization.

11221101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114676 (or 114669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11221101121100 its reverse (112110112211), we get a palindrome (11333211233311).

The spelling of 11221101121100 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred".