10011000011220 has 72 divisors (see below), whose sum is σ = 32702600044296. Its totient is φ = 2464246156032.

The previous prime is 10011000011203. The next prime is 10011000011249. The reversal of 10011000011220 is 2211000011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 118037596356 + 9892962414864 = 343566^2 + 3145308^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2139100227 + ... + 2139104906.

It is an arithmetic number, because the mean of its divisors is an integer number (454202778393).

Almost surely, 2^{10011000011220} is an apocalyptic number.

10011000011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000011220 is an abundant number, since it is smaller than the sum of its proper divisors (22691600033076).

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

10011000011220 is a wasteful number, since it uses less digits than its factorization.

10011000011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278205161 (or 4278205156 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011000011220 its reverse (2211000011001), we get a palindrome (12222000022221).

The spelling of 10011000011220 in words is "ten trillion, eleven billion, eleven thousand, two hundred twenty".