130122132100 has 72 divisors (see below), whose sum is σ = 284463433800. Its totient is φ = 51662561280.

The previous prime is 130122132083. The next prime is 130122132103. The reversal of 130122132100 is 1231221031.

It can be written as a sum of positive squares in 12 ways, for example, as 92709288324 + 37412843776 = 304482^2 + 193424^2 .

It is not an unprimeable number, because it can be changed into a prime (130122132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31481634 + ... + 31485766.

It is an arithmetic number, because the mean of its divisors is an integer number (3950881025).

Almost surely, 2^130122132100 is an apocalyptic number.

130122132100 is a gapful number since it is divisible by the number (10) 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 130122132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142231716900).

130122132100 is an abundant number, since it is smaller than the sum of its proper divisors (154341301700).

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

130122132100 is a wasteful number, since it uses less digits than its factorization.

130122132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130122132100 its reverse (1231221031), we get a palindrome (131353353131).

The spelling of 130122132100 in words is "one hundred thirty billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred".