30101320322100 has 216 divisors, whose sum is σ = 100056854498328. Its totient is φ = 7543052697600.

The previous prime is 30101320322093. The next prime is 30101320322123. The reversal of 30101320322100 is 122302310103.

30101320322100 is a `hidden beast` number, since 3 + 0 + 10 + 1 + 320 + 322 + 10 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7518333673764 + 22582986648336 = 2741958^2 + 4752156^2 .

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 71 ways as a sum of consecutive naturals, for example, 8272662 + ... + 11341938.

It is an arithmetic number, because the mean of its divisors is an integer number (463226178233).

Almost surely, 2^{30101320322100} is an apocalyptic number.

30101320322100 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 30101320322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50028427249164).

30101320322100 is an abundant number, since it is smaller than the sum of its proper divisors (69955534176228).

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

30101320322100 is a wasteful number, since it uses less digits than its factorization.

30101320322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069955 (or 3069945 counting only the distinct ones).

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

Adding to 30101320322100 its reverse (122302310103), we get a palindrome (30223622632203).

The spelling of 30101320322100 in words is "thirty trillion, one hundred one billion, three hundred twenty million, three hundred twenty-two thousand, one hundred".