102220112200000 has 168 divisors, whose sum is σ = 255473033241888. Its totient is φ = 40575912000000.

The previous prime is 102220112199979. The next prime is 102220112200039. The reversal of 102220112200000 is 2211022201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24249235 + ... + 28150765.

It is an arithmetic number, because the mean of its divisors is an integer number (1520672816916).

Almost surely, 2^{102220112200000} is an apocalyptic number.

102220112200000 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 102220112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127736516620944).

102220112200000 is an abundant number, since it is smaller than the sum of its proper divisors (153252921041888).

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

102220112200000 is an frugal number, since it uses more digits than its factorization.

102220112200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901699 (or 3901669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102220112200000 its reverse (2211022201), we get a palindrome (102222323222201).

The spelling of 102220112200000 in words is "one hundred two trillion, two hundred twenty billion, one hundred twelve million, two hundred thousand".