122201130010300 has 108 divisors (see below), whose sum is σ = 291712143056040. Its totient is φ = 44400612291200.

The previous prime is 122201130010273. The next prime is 122201130010303. The reversal of 122201130010300 is 3010031102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201130010303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10762167 + ... + 18979633.

It is an arithmetic number, because the mean of its divisors is an integer number (2701038361630).

Almost surely, 2^{122201130010300} is an apocalyptic number.

122201130010300 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 122201130010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145856071528020).

122201130010300 is an abundant number, since it is smaller than the sum of its proper divisors (169511013045740).

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

122201130010300 is a wasteful number, since it uses less digits than its factorization.

122201130010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218732 (or 8218714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122201130010300 its reverse (3010031102221), we get a palindrome (125211161112521).

The spelling of 122201130010300 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred thirty million, ten thousand, three hundred".