130330102102100 has 72 divisors (see below), whose sum is σ = 289727938709496. Its totient is φ = 50858129920000.

The previous prime is 130330102102087. The next prime is 130330102102129. The reversal of 130330102102100 is 1201201033031.

It can be written as a sum of positive squares in 12 ways, for example, as 72909807548176 + 57420294553924 = 8538724^2 + 7577618^2 .

It is a congruent number.

It is an unprimeable number.

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, 87497570 + ... + 88974630.

It is an arithmetic number, because the mean of its divisors is an integer number (4023999148743).

Almost surely, 2^{130330102102100} is an apocalyptic number.

130330102102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130330102102100 is an abundant number, since it is smaller than the sum of its proper divisors (159397836607396).

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

130330102102100 is a wasteful number, since it uses less digits than its factorization.

130330102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498637 (or 1498630 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130330102102100 its reverse (1201201033031), we get a palindrome (131531303135131).

The spelling of 130330102102100 in words is "one hundred thirty trillion, three hundred thirty billion, one hundred two million, one hundred two thousand, one hundred".