3121123001100 has 144 divisors (see below), whose sum is σ = 9731837622528. Its totient is φ = 767744098560.

The previous prime is 3121123001093. The next prime is 3121123001149. The reversal of 3121123001100 is 11003211213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3121123001100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366767 + ... + 5919833.

It is an arithmetic number, because the mean of its divisors is an integer number (67582205712).

Almost surely, 2^{3121123001100} is an apocalyptic number.

3121123001100 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 3121123001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865918811264).

3121123001100 is an abundant number, since it is smaller than the sum of its proper divisors (6610714621428).

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

3121123001100 is a wasteful number, since it uses less digits than its factorization.

3121123001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554544 (or 554537 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3121123001100 its reverse (11003211213), we get a palindrome (3132126212313).

The spelling of 3121123001100 in words is "three trillion, one hundred twenty-one billion, one hundred twenty-three million, one thousand, one hundred".