102212120220210 has 960 divisors, whose sum is σ = 373714206243840. Its totient is φ = 19463798914560.

The previous prime is 102212120220209. The next prime is 102212120220233. The reversal of 102212120220210 is 12022021212201.

It is a happy number.

102212120220210 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 212 + 0 + 220 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1465098789 + ... + 1465168551.

It is an arithmetic number, because the mean of its divisors is an integer number (389285631504).

Almost surely, 2^{102212120220210} is an apocalyptic number.

102212120220210 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 102212120220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186857103121920).

102212120220210 is an abundant number, since it is smaller than the sum of its proper divisors (271502086023630).

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

102212120220210 is a wasteful number, since it uses less digits than its factorization.

102212120220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69965 (or 69943 counting only the distinct ones).

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

Adding to 102212120220210 its reverse (12022021212201), we get a palindrome (114234141432411).

The spelling of 102212120220210 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty thousand, two hundred ten".