300001122230100 has 144 divisors (see below), whose sum is σ = 882334255285056. Its totient is φ = 78679770624000.

The previous prime is 300001122230057. The next prime is 300001122230137. The reversal of 300001122230100 is 1032221100003.

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 300001122230100.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 158948935 + ... + 160825265.

Almost surely, 2^{300001122230100} is an apocalyptic number.

300001122230100 is a gapful number since it is divisible by the number (30) 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 300001122230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441167127642528).

300001122230100 is an abundant number, since it is smaller than the sum of its proper divisors (582333133054956).

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

300001122230100 is a wasteful number, since it uses less digits than its factorization.

300001122230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885146 (or 1885139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 300001122230100 its reverse (1032221100003), we get a palindrome (301033343330103).

The spelling of 300001122230100 in words is "three hundred trillion, one billion, one hundred twenty-two million, two hundred thirty thousand, one hundred".