11000211110120 has 48 divisors (see below), whose sum is σ = 26121692483460. Its totient is φ = 4168501046784.

The previous prime is 11000211110099. The next prime is 11000211110143. The reversal of 11000211110120 is 2101111200011.

It can be written as a sum of positive squares in 2 ways, for example, as 10963078590916 + 37132519204 = 3311054^2 + 192698^2 .

It is a super-3 number, since 3×11000211110120³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380879297 + ... + 380908176.

Almost surely, 2^{11000211110120} is an apocalyptic number.

11000211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000211110120 is an abundant number, since it is smaller than the sum of its proper divisors (15121481373340).

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

11000211110120 is a wasteful number, since it uses less digits than its factorization.

11000211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761787522 (or 761787499 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11000211110120 its reverse (2101111200011), we get a palindrome (13101322310131).

The spelling of 11000211110120 in words is "eleven trillion, two hundred eleven million, one hundred ten thousand, one hundred twenty".