2002010220210 has 512 divisors, whose sum is σ = 6680796143616. Its totient is φ = 373598438400.

The previous prime is 2002010220193. The next prime is 2002010220227. The reversal of 2002010220210 is 120220102002.

It is an interprime number because it is at equal distance from previous prime (2002010220193) and next prime (2002010220227).

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 255 ways as a sum of consecutive naturals, for example, 134436865 + ... + 134451755.

It is an arithmetic number, because the mean of its divisors is an integer number (13048429968).

Almost surely, 2^{2002010220210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002010220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340398071808).

2002010220210 is an abundant number, since it is smaller than the sum of its proper divisors (4678785923406).

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

2002010220210 is a wasteful number, since it uses less digits than its factorization.

2002010220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14991 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002010220210 its reverse (120220102002), we get a palindrome (2122230322212).

The spelling of 2002010220210 in words is "two trillion, two billion, ten million, two hundred twenty thousand, two hundred ten".