102202221210210 has 384 divisors, whose sum is σ = 311925548712960. Its totient is φ = 23849609414400.

The previous prime is 102202221210137. The next prime is 102202221210319. The reversal of 102202221210210 is 12012122202201.

It is a happy number.

102202221210210 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 2 + 221 + 210 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256382109 + ... + 256780431.

It is an arithmetic number, because the mean of its divisors is an integer number (812306116440).

Almost surely, 2^{102202221210210} is an apocalyptic number.

102202221210210 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 102202221210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155962774356480).

102202221210210 is an abundant number, since it is smaller than the sum of its proper divisors (209723327502750).

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

102202221210210 is a wasteful number, since it uses less digits than its factorization.

102202221210210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398716 (or 398704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202221210210 its reverse (12012122202201), we get a palindrome (114214343412411).

The spelling of 102202221210210 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, two hundred ten thousand, two hundred ten".