2002211020000 has 240 divisors, whose sum is σ = 5026452520320. Its totient is φ = 784603584000.

The previous prime is 2002211019959. The next prime is 2002211020013. The reversal of 2002211020000 is 201122002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362257237 + ... + 362262763.

It is an arithmetic number, because the mean of its divisors is an integer number (20943552168).

Almost surely, 2^{2002211020000} is an apocalyptic number.

2002211020000 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 2002211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513226260160).

2002211020000 is an abundant number, since it is smaller than the sum of its proper divisors (3024241500320).

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

2002211020000 is an equidigital number, since it uses as much as digits as its factorization.

2002211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002211020000 its reverse (201122002), we get a palindrome (2002412142002).

It can be divided in two parts, 200221 and 1020000, that added together give a palindrome (1220221).

The spelling of 2002211020000 in words is "two trillion, two billion, two hundred eleven million, twenty thousand".