1012002221120 has 168 divisors, whose sum is σ = 2654266333824. Its totient is φ = 367244416000.

The previous prime is 1012002221119. The next prime is 1012002221129. The reversal of 1012002221120 is 211222002101.

It is a junction number, because it is equal to n+sod(n) for n = 1012002221095 and 1012002221104.

It is not an unprimeable number, because it can be changed into a prime (1012002221129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18984905 + ... + 19038135.

It is an arithmetic number, because the mean of its divisors is an integer number (15799204368).

Almost surely, 2^{1012002221120} is an apocalyptic number.

1012002221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327133166912).

1012002221120 is an abundant number, since it is smaller than the sum of its proper divisors (1642264112704).

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

1012002221120 is a wasteful number, since it uses less digits than its factorization.

1012002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53761 (or 53740 counting only the distinct ones).

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

Adding to 1012002221120 its reverse (211222002101), we get a palindrome (1223224223221).

The spelling of 1012002221120 in words is "one trillion, twelve billion, two million, two hundred twenty-one thousand, one hundred twenty".