11021101112120 has 128 divisors (see below), whose sum is σ = 27196846683840. Its totient is φ = 3986191319040.

The previous prime is 11021101111963. The next prime is 11021101112143. The reversal of 11021101112120 is 2121110112011.

It is a junction number, because it is equal to n+sod(n) for n = 11021101112095 and 11021101112104.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 777605354 + ... + 777619526.

Almost surely, 2^{11021101112120} is an apocalyptic number.

11021101112120 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 11021101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13598423341920).

11021101112120 is an abundant number, since it is smaller than the sum of its proper divisors (16175745571720).

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

11021101112120 is a wasteful number, since it uses less digits than its factorization.

11021101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23545 (or 23541 counting only the distinct ones).

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

Adding to 11021101112120 its reverse (2121110112011), we get a palindrome (13142211224131).

The spelling of 11021101112120 in words is "eleven trillion, twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred twenty".