3121010100 has 216 divisors, whose sum is σ = 10710298872. Its totient is φ = 755481600.

The previous prime is 3121010041. The next prime is 3121010117. The reversal of 3121010100 is 10101213.

3121010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2194172964 + 926837136 = 46842^2 + 30444^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 711514 + ... + 715886.

It is an arithmetic number, because the mean of its divisors is an integer number (49584717).

Almost surely, 2^3121010100 is an apocalyptic number.

3121010100 is a gapful number since it is divisible by the number (30) 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 3121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355149436).

3121010100 is an abundant number, since it is smaller than the sum of its proper divisors (7589288772).

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

3121010100 is a wasteful number, since it uses less digits than its factorization.

3121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3121010100 is about 55866.0012887982. The cubic root of 3121010100 is about 1461.3863887303.

Adding to 3121010100 its reverse (10101213), we get a palindrome (3131111313).

The spelling of 3121010100 in words is "three billion, one hundred twenty-one million, ten thousand, one hundred".