2002000201110 has 192 divisors, whose sum is σ = 6407956638720. Its totient is φ = 422297452800.

The previous prime is 2002000201109. The next prime is 2002000201111. The reversal of 2002000201110 is 111020002002.

It is an interprime number because it is at equal distance from previous prime (2002000201109) and next prime (2002000201111).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002000201092 and 2002000201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000201111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36426231 + ... + 36481149.

It is an arithmetic number, because the mean of its divisors is an integer number (33374774160).

Almost surely, 2^{2002000201110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002000201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203978319360).

2002000201110 is an abundant number, since it is smaller than the sum of its proper divisors (4405956437610).

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

2002000201110 is a wasteful number, since it uses less digits than its factorization.

2002000201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59403 (or 59400 counting only the distinct ones).

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

Adding to 2002000201110 its reverse (111020002002), we get a palindrome (2113020203112).

The spelling of 2002000201110 in words is "two trillion, two billion, two hundred one thousand, one hundred ten".