130221421101000 has 384 divisors, whose sum is σ = 450133218662400. Its totient is φ = 33946660800000.

The previous prime is 130221421100963. The next prime is 130221421101067. The reversal of 130221421101000 is 101124122031.

130221421101000 is a `hidden beast` number, since 1 + 3 + 0 + 221 + 421 + 10 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70904305 + ... + 72717695.

It is an arithmetic number, because the mean of its divisors is an integer number (1172221923600).

Almost surely, 2^{130221421101000} is an apocalyptic number.

130221421101000 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 130221421101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225066609331200).

130221421101000 is an abundant number, since it is smaller than the sum of its proper divisors (319911797561400).

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

130221421101000 is a wasteful number, since it uses less digits than its factorization.

130221421101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813598 (or 1813581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 130221421101000 its reverse (101124122031), we get a palindrome (130322545223031).

The spelling of 130221421101000 in words is "one hundred thirty trillion, two hundred twenty-one billion, four hundred twenty-one million, one hundred one thousand".