300102120000221 has 24 divisors (see below), whose sum is σ = 382639504730400. Its totient is φ = 232737533733600.

The previous prime is 300102120000161. The next prime is 300102120000259. The reversal of 300102120000221 is 122000021201003.

It is a happy number.

It is not a de Polignac number, because 300102120000221 - 2¹⁴ = 300102119983837 is a prime.

It is a super-2 number, since 2×300102120000221² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 300102120000196 and 300102120000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300102120000271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319260046 + ... + 1319487503.

It is an arithmetic number, because the mean of its divisors is an integer number (15943312697100).

Almost surely, 2^{300102120000221} is an apocalyptic number.

It is an amenable number.

300102120000221 is a deficient number, since it is larger than the sum of its proper divisors (82537384730179).

300102120000221 is a wasteful number, since it uses less digits than its factorization.

300102120000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638747785 (or 2638747778 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 300102120000221 its reverse (122000021201003), we get a palindrome (422102141201224).

The spelling of 300102120000221 in words is "three hundred trillion, one hundred two billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.