1002001120120 has 512 divisors, whose sum is σ = 3210843525120. Its totient is φ = 270842757120.

The previous prime is 1002001120111. The next prime is 1002001120129. The reversal of 1002001120120 is 210211002001.

It is an interprime number because it is at equal distance from previous prime (1002001120111) and next prime (1002001120129).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002001120097 and 1002001120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001120129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542501037 + ... + 542502883.

It is an arithmetic number, because the mean of its divisors is an integer number (6271178760).

Almost surely, 2^{1002001120120} is an apocalyptic number.

1002001120120 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 1002001120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605421762560).

1002001120120 is an abundant number, since it is smaller than the sum of its proper divisors (2208842405000).

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

1002001120120 is a wasteful number, since it uses less digits than its factorization.

1002001120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002001120120 its reverse (210211002001), we get a palindrome (1212212122121).

The spelling of 1002001120120 in words is "one trillion, two billion, one million, one hundred twenty thousand, one hundred twenty".