242122101301300 has 36 divisors (see below), whose sum is σ = 573169047083136. Its totient is φ = 88044400472800.

The previous prime is 242122101301243. The next prime is 242122101301309. The reversal of 242122101301300 is 3103101221242.

It is a super-2 number, since 2×242122101301300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242122101301309) 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 11 ways as a sum of consecutive naturals, for example, 110055499492 + ... + 110055501691.

It is an arithmetic number, because the mean of its divisors is an integer number (15921362418976).

Almost surely, 2^{242122101301300} is an apocalyptic number.

242122101301300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242122101301300 is an abundant number, since it is smaller than the sum of its proper divisors (331046945781836).

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

242122101301300 is a wasteful number, since it uses less digits than its factorization.

242122101301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220111001208 (or 220111001201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 242122101301300 its reverse (3103101221242), we get a palindrome (245225202522542).

The spelling of 242122101301300 in words is "two hundred forty-two trillion, one hundred twenty-two billion, one hundred one million, three hundred one thousand, three hundred".