102212020200210 has 192 divisors, whose sum is σ = 257471024025600. Its totient is φ = 25966647017344.

The previous prime is 102212020200193. The next prime is 102212020200307. The reversal of 102212020200210 is 12002020212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102212020200210.

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, 4780049179 + ... + 4780070561.

It is an arithmetic number, because the mean of its divisors is an integer number (1340994916800).

Almost surely, 2^{102212020200210} is an apocalyptic number.

102212020200210 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 102212020200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128735512012800).

102212020200210 is an abundant number, since it is smaller than the sum of its proper divisors (155259003825390).

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

102212020200210 is a wasteful number, since it uses less digits than its factorization.

102212020200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22637 (or 22614 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102212020200210 its reverse (12002020212201), we get a palindrome (114214040412411).

The spelling of 102212020200210 in words is "one hundred two trillion, two hundred twelve billion, twenty million, two hundred thousand, two hundred ten".