122015322100 has 144 divisors (see below), whose sum is σ = 313342444800. Its totient is φ = 40351288320.

The previous prime is 122015322089. The next prime is 122015322119. The reversal of 122015322100 is 1223510221.

122015322100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 26164369 + ... + 26169031.

It is an arithmetic number, because the mean of its divisors is an integer number (2175989200).

Almost surely, 2^122015322100 is an apocalyptic number.

122015322100 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 122015322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156671222400).

122015322100 is an abundant number, since it is smaller than the sum of its proper divisors (191327122700).

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

122015322100 is a wasteful number, since it uses less digits than its factorization.

122015322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 122015322100 its reverse (1223510221), we get a palindrome (123238832321).

The spelling of 122015322100 in words is "one hundred twenty-two billion, fifteen million, three hundred twenty-two thousand, one hundred".