3210100020 has 72 divisors (see below), whose sum is σ = 10000494504. Its totient is φ = 832889088.

The previous prime is 3210100009. The next prime is 3210100039. The reversal of 3210100020 is 200010123.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2015291664 + 1194808356 = 44892^2 + 34566^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3210099975 and 3210100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234339 + ... + 247658.

It is an arithmetic number, because the mean of its divisors is an integer number (138895757).

Almost surely, 2^3210100020 is an apocalyptic number.

3210100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3210100020 is an abundant number, since it is smaller than the sum of its proper divisors (6790394484).

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

3210100020 is a wasteful number, since it uses less digits than its factorization.

3210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482049 (or 482044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3210100020 is about 56657.7445721236. The cubic root of 3210100020 is about 1475.1613375182.

Adding to 3210100020 its reverse (200010123), we get a palindrome (3410110143).

The spelling of 3210100020 in words is "three billion, two hundred ten million, one hundred thousand, twenty".