10012112201120 has 24 divisors (see below), whose sum is σ = 23653615075524. Its totient is φ = 4004844880384.

The previous prime is 10012112201089. The next prime is 10012112201123. The reversal of 10012112201120 is 2110221121001.

It can be written as a sum of positive squares in 2 ways, for example, as 9409458090256 + 602654110864 = 3067484^2 + 776308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10012112201095 and 10012112201104.

It is not an unprimeable number, because it can be changed into a prime (10012112201123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31287850469 + ... + 31287850788.

Almost surely, 2^{10012112201120} is an apocalyptic number.

10012112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012112201120 is an abundant number, since it is smaller than the sum of its proper divisors (13641502874404).

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

10012112201120 is an equidigital number, since it uses as much as digits as its factorization.

10012112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62575701272 (or 62575701264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012112201120 its reverse (2110221121001), we get a palindrome (12122333322121).

The spelling of 10012112201120 in words is "ten trillion, twelve billion, one hundred twelve million, two hundred one thousand, one hundred twenty".