30101313221100 has 216 divisors, whose sum is σ = 103063527730800. Its totient is φ = 7287697152000.

The previous prime is 30101313221071. The next prime is 30101313221107. The reversal of 30101313221100 is 112231310103.

30101313221100 is a `hidden beast` number, since 30 + 1 + 0 + 1 + 313 + 221 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30101313221107) 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, 5536176 + ... + 9531624.

Almost surely, 2^{30101313221100} is an apocalyptic number.

30101313221100 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 30101313221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51531763865400).

30101313221100 is an abundant number, since it is smaller than the sum of its proper divisors (72962214509700).

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

30101313221100 is a wasteful number, since it uses less digits than its factorization.

30101313221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996241 (or 3996231 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30101313221100 its reverse (112231310103), we get a palindrome (30213544531203).

The spelling of 30101313221100 in words is "thirty trillion, one hundred one billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred".