10002002220210 has 1152 divisors, whose sum is σ = 34981316149248. Its totient is φ = 1805836032000.

The previous prime is 10002002220191. The next prime is 10002002220229. The reversal of 10002002220210 is 1202220020001.

It is an interprime number because it is at equal distance from previous prime (10002002220191) and next prime (10002002220229).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3134439715 + ... + 3134442905.

It is an arithmetic number, because the mean of its divisors is an integer number (30365725824).

Almost surely, 2^{10002002220210} is an apocalyptic number.

10002002220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002002220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17490658074624).

10002002220210 is an abundant number, since it is smaller than the sum of its proper divisors (24979313929038).

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

10002002220210 is a wasteful number, since it uses less digits than its factorization.

10002002220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3300 counting only the distinct ones).

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

Adding to 10002002220210 its reverse (1202220020001), we get a palindrome (11204222240211).

The spelling of 10002002220210 in words is "ten trillion, two billion, two million, two hundred twenty thousand, two hundred ten".