130434221012100 has 144 divisors (see below), whose sum is σ = 385316520789312. Its totient is φ = 34059291607040.

The previous prime is 130434221012083. The next prime is 130434221012107. The reversal of 130434221012100 is 1210122434031.

It is a super-2 number, since 2×130434221012100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130434221012107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20364717 + ... + 25992116.

It is an arithmetic number, because the mean of its divisors is an integer number (2675809172148).

Almost surely, 2^{130434221012100} is an apocalyptic number.

130434221012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434221012100 is an abundant number, since it is smaller than the sum of its proper divisors (254882299777212).

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

130434221012100 is a wasteful number, since it uses less digits than its factorization.

130434221012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46357046 (or 46357039 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130434221012100 its reverse (1210122434031), we get a palindrome (131644343446131).

The spelling of 130434221012100 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, twelve thousand, one hundred".