2002011102000 has 480 divisors, whose sum is σ = 8605985431680. Its totient is φ = 422401996800.

The previous prime is 2002011101939. The next prime is 2002011102053. The reversal of 2002011102000 is 2011102002.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1026886 + ... + 2249114.

It is an arithmetic number, because the mean of its divisors is an integer number (17929136316).

Almost surely, 2^{2002011102000} is an apocalyptic number.

2002011102000 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 2002011102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302992715840).

2002011102000 is an abundant number, since it is smaller than the sum of its proper divisors (6603974329680).

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

2002011102000 is a wasteful number, since it uses less digits than its factorization.

2002011102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222278 (or 1222259 counting only the distinct ones).

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

Adding to 2002011102000 its reverse (2011102002), we get a palindrome (2004022204002).

The spelling of 2002011102000 in words is "two trillion, two billion, eleven million, one hundred two thousand".