102211222323210 has 384 divisors, whose sum is σ = 331297563248640. Its totient is φ = 19597566643200.

The previous prime is 102211222323191. The next prime is 102211222323233. The reversal of 102211222323210 is 12323222112201.

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 1066107156 + ... + 1066203024.

It is an arithmetic number, because the mean of its divisors is an integer number (862754070960).

Almost surely, 2^{102211222323210} is an apocalyptic number.

102211222323210 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 102211222323210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165648781624320).

102211222323210 is an abundant number, since it is smaller than the sum of its proper divisors (229086340925430).

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

102211222323210 is a wasteful number, since it uses less digits than its factorization.

102211222323210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98654 (or 98641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102211222323210 its reverse (12323222112201), we get a palindrome (114534444435411).

The spelling of 102211222323210 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, three hundred twenty-three thousand, two hundred ten".