130221421100964 has 120 divisors (see below), whose sum is σ = 341371851588768. Its totient is φ = 43286498236800.

The previous prime is 130221421100963. The next prime is 130221421101067. The reversal of 130221421100964 is 469001124122031.

130221421100964 is a `hidden beast` number, since 1 + 3 + 0 + 221 + 421 + 1 + 0 + 0 + 9 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130221421100963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185917072 + ... + 186616184.

Almost surely, 2^{130221421100964} 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 130221421100964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170685925794384).

130221421100964 is an abundant number, since it is smaller than the sum of its proper divisors (211150430487804).

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

130221421100964 is a wasteful number, since it uses less digits than its factorization.

130221421100964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700727 (or 700716 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 130221421100964 its reverse (469001124122031), we get a palindrome (599222545222995).

The spelling of 130221421100964 in words is "one hundred thirty trillion, two hundred twenty-one billion, four hundred twenty-one million, one hundred thousand, nine hundred sixty-four".