122101200100000 has 288 divisors, whose sum is σ = 330137654212800. Its totient is φ = 44080953600000.

The previous prime is 122101200099911. The next prime is 122101200100057. The reversal of 122101200100000 is 1002101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 122101200100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152500716 + ... + 153299284.

It is an arithmetic number, because the mean of its divisors is an integer number (1146311299350).

Almost surely, 2^{122101200100000} is an apocalyptic number.

122101200100000 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 122101200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165068827106400).

122101200100000 is an abundant number, since it is smaller than the sum of its proper divisors (208036454112800).

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

122101200100000 is an equidigital number, since it uses as much as digits as its factorization.

122101200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798754 (or 798726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101200100000 its reverse (1002101221), we get a palindrome (122102202201221).

The spelling of 122101200100000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, one hundred thousand".