122313201302100 has 216 divisors, whose sum is σ = 359083778729760. Its totient is φ = 32145250681600.

The previous prime is 122313201302093. The next prime is 122313201302101. The reversal of 122313201302100 is 1203102313221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313201302101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4399266799 + ... + 4399294601.

Almost surely, 2^{122313201302100} is an apocalyptic number.

122313201302100 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 122313201302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179541889364880).

122313201302100 is an abundant number, since it is smaller than the sum of its proper divisors (236770577427660).

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

122313201302100 is a wasteful number, since it uses less digits than its factorization.

122313201302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30871 (or 30793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122313201302100 its reverse (1203102313221), we get a palindrome (123516303615321).

The spelling of 122313201302100 in words is "one hundred twenty-two trillion, three hundred thirteen billion, two hundred one million, three hundred two thousand, one hundred".