10011224144420 has 12 divisors (see below), whose sum is σ = 21023570703324. Its totient is φ = 4004489657760.

The previous prime is 10011224144413. The next prime is 10011224144431. The reversal of 10011224144420 is 2444142211001.

It can be written as a sum of positive squares in 2 ways, for example, as 2287093634596 + 7724130509824 = 1512314^2 + 2779232^2 .

It is a super-2 number, since 2×10011224144420² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10011224144420.

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 3 ways as a sum of consecutive naturals, for example, 250280603591 + ... + 250280603630.

It is an arithmetic number, because the mean of its divisors is an integer number (1751964225277).

Almost surely, 2^{10011224144420} is an apocalyptic number.

10011224144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011224144420 is an abundant number, since it is smaller than the sum of its proper divisors (11012346558904).

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

10011224144420 is a wasteful number, since it uses less digits than its factorization.

10011224144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500561207230 (or 500561207228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 10011224144420 its reverse (2444142211001), we get a palindrome (12455366355421).

The spelling of 10011224144420 in words is "ten trillion, eleven billion, two hundred twenty-four million, one hundred forty-four thousand, four hundred twenty".