30100134222100 has 72 divisors (see below), whose sum is σ = 65804242618296. Its totient is φ = 11950548480000.

The previous prime is 30100134222083. The next prime is 30100134222107. The reversal of 30100134222100 is 122243100103.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 22229169307524 + 7870964914576 = 4714782^2 + 2805524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30100134222107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7834140 + ... + 11026060.

It is an arithmetic number, because the mean of its divisors is an integer number (913947814143).

Almost surely, 2^{30100134222100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30100134222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32902121309148).

30100134222100 is an abundant number, since it is smaller than the sum of its proper divisors (35704108396196).

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

30100134222100 is a wasteful number, since it uses less digits than its factorization.

30100134222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192637 (or 3192630 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 30100134222100 its reverse (122243100103), we get a palindrome (30222377322203).

The spelling of 30100134222100 in words is "thirty trillion, one hundred billion, one hundred thirty-four million, two hundred twenty-two thousand, one hundred".