210202200002200 has 384 divisors, whose sum is σ = 582621595545600. Its totient is φ = 69027997409280.

The previous prime is 210202200002149. The next prime is 210202200002227. The reversal of 210202200002200 is 2200002202012.

It is a super-3 number, since 3×210202200002200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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, 1378995189 + ... + 1379147611.

It is an arithmetic number, because the mean of its divisors is an integer number (1517243738400).

Almost surely, 2^{210202200002200} is an apocalyptic number.

210202200002200 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 210202200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291310797772800).

210202200002200 is an abundant number, since it is smaller than the sum of its proper divisors (372419395543400).

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

210202200002200 is a wasteful number, since it uses less digits than its factorization.

210202200002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152899 (or 152890 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 210202200002200 its reverse (2200002202012), we get a palindrome (212402202204212).

The spelling of 210202200002200 in words is "two hundred ten trillion, two hundred two billion, two hundred million, two thousand, two hundred".