1002022002120 has 128 divisors (see below), whose sum is σ = 3043157040000. Its totient is φ = 263928944640.

The previous prime is 1002022002119. The next prime is 1002022002133. The reversal of 1002022002120 is 212002202001.

1002022002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002022002096 and 1002022002105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043980 + ... + 3357060.

It is an arithmetic number, because the mean of its divisors is an integer number (23774664375).

Almost surely, 2^{1002022002120} is an apocalyptic number.

1002022002120 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 1002022002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521578520000).

1002022002120 is an abundant number, since it is smaller than the sum of its proper divisors (2041135037880).

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

1002022002120 is a wasteful number, since it uses less digits than its factorization.

1002022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313423 (or 313419 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002022002120 its reverse (212002202001), we get a palindrome (1214024204121).

The spelling of 1002022002120 in words is "one trillion, two billion, twenty-two million, two thousand, one hundred twenty".