102112213320000 has 1260 divisors, whose sum is σ = 402765429306240. Its totient is φ = 24708423168000.

The previous prime is 102112213319999. The next prime is 102112213320037. The reversal of 102112213320000 is 23312211201.

102112213320000 is a `hidden beast` number, since 1 + 0 + 211 + 221 + 33 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 179 ways as a sum of consecutive naturals, for example, 3589545777 + ... + 3589574223.

It is an arithmetic number, because the mean of its divisors is an integer number (319655102624).

Almost surely, 2^{102112213320000} is an apocalyptic number.

102112213320000 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 102112213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201382714653120).

102112213320000 is an abundant number, since it is smaller than the sum of its proper divisors (300653215986240).

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

102112213320000 is a wasteful number, since it uses less digits than its factorization.

102112213320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28570 (or 28529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102112213320000 its reverse (23312211201), we get a palindrome (102135525531201).

The spelling of 102112213320000 in words is "one hundred two trillion, one hundred twelve billion, two hundred thirteen million, three hundred twenty thousand".