130101200100 has 54 divisors (see below), whose sum is σ = 407794986690. Its totient is φ = 34693653120.

The previous prime is 130101200081. The next prime is 130101200101. The reversal of 130101200100 is 1002101031.

It can be written as a sum of positive squares in 3 ways, for example, as 21482178624 + 108619021476 = 146568^2 + 329574^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (130101200101) 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 17 ways as a sum of consecutive naturals, for example, 72277545 + ... + 72279344.

Almost surely, 2^130101200100 is an apocalyptic number.

130101200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130101200100 is an abundant number, since it is smaller than the sum of its proper divisors (277693786590).

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

130101200100 is a wasteful number, since it uses less digits than its factorization.

130101200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144556909 (or 144556899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 130101200100 its reverse (1002101031), we get a palindrome (131103301131).

The spelling of 130101200100 in words is "one hundred thirty billion, one hundred one million, two hundred thousand, one hundred".