122001220220100 has 288 divisors, whose sum is σ = 380755120112640. Its totient is φ = 29982765980160.

The previous prime is 122001220220081. The next prime is 122001220220183. The reversal of 122001220220100 is 1022022100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122001220220100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10201617921 + ... + 10201629879.

It is an arithmetic number, because the mean of its divisors is an integer number (1322066389280).

Almost surely, 2^{122001220220100} is an apocalyptic number.

122001220220100 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 122001220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190377560056320).

122001220220100 is an abundant number, since it is smaller than the sum of its proper divisors (258753899892540).

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

122001220220100 is a wasteful number, since it uses less digits than its factorization.

122001220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15979 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122001220220100 its reverse (1022022100221), we get a palindrome (123023242320321).

The spelling of 122001220220100 in words is "one hundred twenty-two trillion, one billion, two hundred twenty million, two hundred twenty thousand, one hundred".