102210102000000 has 336 divisors, whose sum is σ = 367645628060100. Its totient is φ = 27256022400000.

The previous prime is 102210101999981. The next prime is 102210102000001. The reversal of 102210102000000 is 201012201.

It is a super-3 number, since 3×102210102000000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210102000001) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 15160831 + ... + 20839169.

Almost surely, 2^{102210102000000} is an apocalyptic number.

102210102000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183822814030050).

102210102000000 is an abundant number, since it is smaller than the sum of its proper divisors (265435526060100).

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

102210102000000 is an frugal number, since it uses more digits than its factorization.

102210102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678389 (or 5678349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210102000000 its reverse (201012201), we get a palindrome (102210303012201).

The spelling of 102210102000000 in words is "one hundred two trillion, two hundred ten billion, one hundred two million", and thus it is an aban number.