212123003100 has 144 divisors (see below), whose sum is σ = 618410419200. Its totient is φ = 56136672000.

The previous prime is 212123003017. The next prime is 212123003107. The reversal of 212123003100 is 1300321212.

212123003100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212123003100² (a number of 23 digits) contains 22 as substring.

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 212123003100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123003107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70168189 + ... + 70171211.

It is an arithmetic number, because the mean of its divisors is an integer number (4294516800).

Almost surely, 2^212123003100 is an apocalyptic number.

212123003100 is a gapful number since it is divisible by the number (20) 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 212123003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309205209600).

212123003100 is an abundant number, since it is smaller than the sum of its proper divisors (406287416100).

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

212123003100 is a wasteful number, since it uses less digits than its factorization.

212123003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212123003100 its reverse (1300321212), we get a palindrome (213423324312).

The spelling of 212123003100 in words is "two hundred twelve billion, one hundred twenty-three million, three thousand, one hundred".