101421320 has 256 divisors, whose sum is σ = 326592000. Its totient is φ = 27279360.

The previous prime is 101421289. The next prime is 101421361. The reversal of 101421320 is 23124101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101421295 and 101421304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680606 + ... + 680754.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^101421320 is an apocalyptic number.

101421320 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 101421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

101421320 is an abundant number, since it is smaller than the sum of its proper divisors (225170680).

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

101421320 is a wasteful number, since it uses less digits than its factorization.

101421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101421320 is about 10070.8152599479. The cubic root of 101421320 is about 466.3476073061.

Adding to 101421320 its reverse (23124101), we get a palindrome (124545421).

The spelling of 101421320 in words is "one hundred one million, four hundred twenty-one thousand, three hundred twenty".