102220330212000 has 2304 divisors, whose sum is σ = 508503443535360. Its totient is φ = 19606551552000.

The previous prime is 102220330211957. The next prime is 102220330212031. The reversal of 102220330212000 is 212033022201.

102220330212000 is a `hidden beast` number, since 102 + 2 + 20 + 330 + 212 + 0 + 0 + 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 383 ways as a sum of consecutive naturals, for example, 756688462 + ... + 756823538.

It is an arithmetic number, because the mean of its divisors is an integer number (220704619590).

Almost surely, 2^{102220330212000} is an apocalyptic number.

102220330212000 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 102220330212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254251721767680).

102220330212000 is an abundant number, since it is smaller than the sum of its proper divisors (406283113323360).

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

102220330212000 is a wasteful number, since it uses less digits than its factorization.

102220330212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135149 (or 135118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102220330212000 its reverse (212033022201), we get a palindrome (102432363234201).

The spelling of 102220330212000 in words is "one hundred two trillion, two hundred twenty billion, three hundred thirty million, two hundred twelve thousand".