30301013222100 has 432 divisors, whose sum is σ = 101155398817200. Its totient is φ = 7572126965760.

The previous prime is 30301013222093. The next prime is 30301013222119. The reversal of 30301013222100 is 122231010303.

30301013222100 is a `hidden beast` number, since 3 + 0 + 30 + 101 + 322 + 210 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2505046914756 + 27795966307344 = 1582734^2 + 5272188^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394932942 + ... + 395009658.

Almost surely, 2^{30301013222100} is an apocalyptic number.

30301013222100 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 30301013222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50577699408600).

30301013222100 is an abundant number, since it is smaller than the sum of its proper divisors (70854385595100).

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

30301013222100 is a wasteful number, since it uses less digits than its factorization.

30301013222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77212 (or 77202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30301013222100 its reverse (122231010303), we get a palindrome (30423244232403).

The spelling of 30301013222100 in words is "thirty trillion, three hundred one billion, thirteen million, two hundred twenty-two thousand, one hundred".