101821328 has 20 divisors (see below), whose sum is σ = 225461760. Its totient is φ = 43637664.

The previous prime is 101821303. The next prime is 101821337. The reversal of 101821328 is 823128101.

It is a junction number, because it is equal to n+sod(n) for n = 101821297 and 101821306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454448 + ... + 454671.

It is an arithmetic number, because the mean of its divisors is an integer number (11273088).

Almost surely, 2^101821328 is an apocalyptic number.

It is an amenable number.

101821328 is an abundant number, since it is smaller than the sum of its proper divisors (123640432).

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

101821328 is an equidigital number, since it uses as much as digits as its factorization.

101821328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909134 (or 909128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 101821328 is about 10090.6554792045. The cubic root of 101821328 is about 466.9598982480.

Adding to 101821328 its reverse (823128101), we get a palindrome (924949429).

The spelling of 101821328 in words is "one hundred one million, eight hundred twenty-one thousand, three hundred twenty-eight".