11000100202120 has 32 divisors (see below), whose sum is σ = 24754016856600. Its totient is φ = 4399366053888.

The previous prime is 11000100202111. The next prime is 11000100202159. The reversal of 11000100202120 is 2120200100011.

It can be written as a sum of positive squares in 4 ways, for example, as 4425276005956 + 6574824196164 = 2103634^2 + 2564142^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11000100202097 and 11000100202106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20798919 + ... + 21321238.

Almost surely, 2^{11000100202120} is an apocalyptic number.

11000100202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000100202120 is an abundant number, since it is smaller than the sum of its proper divisors (13753916654480).

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

11000100202120 is a wasteful number, since it uses less digits than its factorization.

11000100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42126697 (or 42126693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000100202120 its reverse (2120200100011), we get a palindrome (13120300302131).

The spelling of 11000100202120 in words is "eleven trillion, one hundred million, two hundred two thousand, one hundred twenty".