102222002000000 has 224 divisors, whose sum is σ = 256412226865860. Its totient is φ = 40590233600000.

The previous prime is 102222001999891. The next prime is 102222002000011. The reversal of 102222002000000 is 200222201.

102222002000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 61327818739264 + 40894183260736 = 7831208^2 + 6394856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 273813464 + ... + 274186536.

Almost surely, 2^{102222002000000} is an apocalyptic number.

102222002000000 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 102222002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128206113432930).

102222002000000 is an abundant number, since it is smaller than the sum of its proper divisors (154190224865860).

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

102222002000000 is an frugal number, since it uses more digits than its factorization.

102222002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373254 (or 373217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102222002000000 its reverse (200222201), we get a palindrome (102222202222201).

The spelling of 102222002000000 in words is "one hundred two trillion, two hundred twenty-two billion, two million", and thus it is an aban number.