11121002020100 has 108 divisors (see below), whose sum is σ = 28161147516516. Its totient is φ = 3800886324480.

The previous prime is 11121002020087. The next prime is 11121002020109. The reversal of 11121002020100 is 102020012111.

It can be written as a sum of positive squares in 6 ways, for example, as 4072784116996 + 7048217903104 = 2018114^2 + 2654848^2 .

It is not an unprimeable number, because it can be changed into a prime (11121002020109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2026499 + ... + 5133098.

Almost surely, 2^{11121002020100} is an apocalyptic number.

11121002020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121002020100 is an abundant number, since it is smaller than the sum of its proper divisors (17040145496416).

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

11121002020100 is a wasteful number, since it uses less digits than its factorization.

11121002020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159942 (or 7159928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11121002020100 its reverse (102020012111), we get a palindrome (11223022032211).

The spelling of 11121002020100 in words is "eleven trillion, one hundred twenty-one billion, two million, twenty thousand, one hundred".