3123201011100 has 144 divisors (see below), whose sum is σ = 9080196830208. Its totient is φ = 828825384960.

The previous prime is 3123201011089. The next prime is 3123201011123. The reversal of 3123201011100 is 11101023213.

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 3123201011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241970847 + ... + 241983753.

It is an arithmetic number, because the mean of its divisors is an integer number (63056922432).

Almost surely, 2^{3123201011100} is an apocalyptic number.

3123201011100 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 3123201011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540098415104).

3123201011100 is an abundant number, since it is smaller than the sum of its proper divisors (5956995819108).

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

3123201011100 is a wasteful number, since it uses less digits than its factorization.

3123201011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16764 (or 16757 counting only the distinct ones).

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

Adding to 3123201011100 its reverse (11101023213), we get a palindrome (3134302034313).

The spelling of 3123201011100 in words is "three trillion, one hundred twenty-three billion, two hundred one million, eleven thousand, one hundred".