10012202021120 has 72 divisors (see below), whose sum is σ = 25827149054616. Its totient is φ = 3696813047808.

The previous prime is 10012202021113. The next prime is 10012202021123. The reversal of 10012202021120 is 2112020221001.

It can be written as a sum of positive squares in 4 ways, for example, as 2343201685504 + 7669000335616 = 1530752^2 + 2769296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10012202021095 and 10012202021104.

It is not an unprimeable number, because it can be changed into a prime (10012202021123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300830777 + ... + 300864056.

Almost surely, 2^{10012202021120} is an apocalyptic number.

10012202021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012202021120 is an abundant number, since it is smaller than the sum of its proper divisors (15814947033496).

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

10012202021120 is an equidigital number, since it uses as much as digits as its factorization.

10012202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601694867 (or 601694853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10012202021120 its reverse (2112020221001), we get a palindrome (12124222242121).

The spelling of 10012202021120 in words is "ten trillion, twelve billion, two hundred two million, twenty-one thousand, one hundred twenty".