1002001011220 has 96 divisors (see below), whose sum is σ = 2323935484416. Its totient is φ = 359852342400.

The previous prime is 1002001011181. The next prime is 1002001011223. The reversal of 1002001011220 is 221101002001.

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 = 1002001011197 and 1002001011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001011223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67390227 + ... + 67405093.

It is an arithmetic number, because the mean of its divisors is an integer number (24207661296).

Almost surely, 2^{1002001011220} is an apocalyptic number.

1002001011220 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 1002001011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161967742208).

1002001011220 is an abundant number, since it is smaller than the sum of its proper divisors (1321934473196).

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

1002001011220 is a wasteful number, since it uses less digits than its factorization.

1002001011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18661 (or 18659 counting only the distinct ones).

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

Adding to 1002001011220 its reverse (221101002001), we get a palindrome (1223102013221).

The spelling of 1002001011220 in words is "one trillion, two billion, one million, eleven thousand, two hundred twenty".