3121212100 has 72 divisors (see below), whose sum is σ = 6907057920. Its totient is φ = 1223902080.

The previous prime is 3121212097. The next prime is 3121212103. The reversal of 3121212100 is 12121213.

It is an interprime number because it is at equal distance from previous prime (3121212097) and next prime (3121212103).

It is not an unprimeable number, because it can be changed into a prime (3121212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616269 + ... + 3617131.

It is an arithmetic number, because the mean of its divisors is an integer number (95931360).

Almost surely, 2^3121212100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453528960).

3121212100 is an abundant number, since it is smaller than the sum of its proper divisors (3785845820).

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

3121212100 is a wasteful number, since it uses less digits than its factorization.

3121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 3121212100 is about 55867.8091569734. The cubic root of 3121212100 is about 1461.4179163098.

Adding to 3121212100 its reverse (12121213), we get a palindrome (3133333313).

The spelling of 3121212100 in words is "three billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".