10011144434120 has 32 divisors (see below), whose sum is σ = 22605235411320. Its totient is φ = 3990207029760.

The previous prime is 10011144434113. The next prime is 10011144434171. The reversal of 10011144434120 is 2143444111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10010098687876 + 1045746244 = 3163874^2 + 32338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10011144434120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445324367 + ... + 445346846.

Almost surely, 2^{10011144434120} is an apocalyptic number.

10011144434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011144434120 is an abundant number, since it is smaller than the sum of its proper divisors (12594090977200).

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

10011144434120 is a wasteful number, since it uses less digits than its factorization.

10011144434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890671505 (or 890671501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 10011144434120 its reverse (2143444111001), we get a palindrome (12154588545121).

The spelling of 10011144434120 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred thirty-four thousand, one hundred twenty".