2002000111020 has 384 divisors, whose sum is σ = 7670953543680. Its totient is φ = 422114872320.

The previous prime is 2002000110991. The next prime is 2002000111037. The reversal of 2002000111020 is 201110002002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2002000110993 and 2002000111011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77185974 + ... + 77211906.

It is an arithmetic number, because the mean of its divisors is an integer number (19976441520).

Almost surely, 2^{2002000111020} is an apocalyptic number.

2002000111020 is a gapful number since it is divisible by the number (20) 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 2002000111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835476771840).

2002000111020 is an abundant number, since it is smaller than the sum of its proper divisors (5668953432660).

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

2002000111020 is a wasteful number, since it uses less digits than its factorization.

2002000111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27542 (or 27534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002000111020 its reverse (201110002002), we get a palindrome (2203110113022).

The spelling of 2002000111020 in words is "two trillion, two billion, one hundred eleven thousand, twenty".