10212100320 has 48 divisors (see below), whose sum is σ = 32168117520. Its totient is φ = 2723226624.

The previous prime is 10212100309. The next prime is 10212100337. The reversal of 10212100320 is 2300121201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212100296 and 10212100305.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10637125 + ... + 10638084.

It is an arithmetic number, because the mean of its divisors is an integer number (670169115).

Almost surely, 2^10212100320 is an apocalyptic number.

10212100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212100320 is an abundant number, since it is smaller than the sum of its proper divisors (21956017200).

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

10212100320 is a wasteful number, since it uses less digits than its factorization.

10212100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21275227 (or 21275219 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10212100320 its reverse (2300121201), we get a palindrome (12512221521).

The spelling of 10212100320 in words is "ten billion, two hundred twelve million, one hundred thousand, three hundred twenty".