10021320330100 has 72 divisors (see below), whose sum is σ = 21834088075800. Its totient is φ = 3992366469120.

The previous prime is 10021320330097. The next prime is 10021320330127. The reversal of 10021320330100 is 103302312001.

It can be written as a sum of positive squares in 12 ways, for example, as 21533214564 + 9999787115536 = 146742^2 + 3162244^2 .

It is a super-2 number, since 2×10021320330100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29741772 + ... + 30076828.

It is an arithmetic number, because the mean of its divisors is an integer number (303251223275).

Almost surely, 2^{10021320330100} is an apocalyptic number.

10021320330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021320330100 is an abundant number, since it is smaller than the sum of its proper divisors (11812767745700).

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

10021320330100 is a wasteful number, since it uses less digits than its factorization.

10021320330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336277 (or 336270 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10021320330100 its reverse (103302312001), we get a palindrome (10124622642101).

The spelling of 10021320330100 in words is "ten trillion, twenty-one billion, three hundred twenty million, three hundred thirty thousand, one hundred".