10012112221120 has 28 divisors (see below), whose sum is σ = 23841342227304. Its totient is φ = 4004844888320.

The previous prime is 10012112221099. The next prime is 10012112221129. The reversal of 10012112221120 is 2112221121001.

It is a super-2 number, since 2×10012112221120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10012112221094 and 10012112221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012112221129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15643925026 + ... + 15643925665.

It is an arithmetic number, because the mean of its divisors is an integer number (851476508118).

Almost surely, 2^{10012112221120} is an apocalyptic number.

10012112221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012112221120 is an abundant number, since it is smaller than the sum of its proper divisors (13829230006184).

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

10012112221120 is an equidigital number, since it uses as much as digits as its factorization.

10012112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31287850708 (or 31287850698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10012112221120 its reverse (2112221121001), we get a palindrome (12124333342121).

The spelling of 10012112221120 in words is "ten trillion, twelve billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".