10121200011220 has 24 divisors (see below), whose sum is σ = 21254862198024. Its totient is φ = 4048414828416.

The previous prime is 10121200011203. The next prime is 10121200011239. The reversal of 10121200011220 is 2211000212101.

It can be written as a sum of positive squares in 4 ways, for example, as 5128576212496 + 4992623798724 = 2264636^2 + 2234418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10121200011220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2790267 + ... + 5294146.

It is an arithmetic number, because the mean of its divisors is an integer number (885619258251).

Almost surely, 2^{10121200011220} is an apocalyptic number.

10121200011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121200011220 is an abundant number, since it is smaller than the sum of its proper divisors (11133662186804).

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

10121200011220 is a wasteful number, since it uses less digits than its factorization.

10121200011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147019 (or 8147017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121200011220 its reverse (2211000212101), we get a palindrome (12332200223321).

The spelling of 10121200011220 in words is "ten trillion, one hundred twenty-one billion, two hundred million, eleven thousand, two hundred twenty".