102212220102210 has 192 divisors, whose sum is σ = 276809777861760. Its totient is φ = 26146503613440.

The previous prime is 102212220102151. The next prime is 102212220102313. The reversal of 102212220102210 is 12201022212201.

It is a happy number.

102212220102210 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 220 + 10 + 221 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 155241622 + ... + 155898638.

It is an arithmetic number, because the mean of its divisors is an integer number (1441717593030).

Almost surely, 2^{102212220102210} is an apocalyptic number.

102212220102210 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 102212220102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138404888930880).

102212220102210 is an abundant number, since it is smaller than the sum of its proper divisors (174597557759550).

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

102212220102210 is a wasteful number, since it uses less digits than its factorization.

102212220102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657793 (or 657790 counting only the distinct ones).

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

Adding to 102212220102210 its reverse (12201022212201), we get a palindrome (114413242314411).

The spelling of 102212220102210 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, one hundred two thousand, two hundred ten".