212322232013100 has 144 divisors (see below), whose sum is σ = 670430147640960. Its totient is φ = 51451781644800.

The previous prime is 212322232013029. The next prime is 212322232013107. The reversal of 212322232013100 is 1310232223212.

It is a super-2 number, since 2×212322232013100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212322232013107) by changing a digit.

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, 4291657 + ... + 21049056.

Almost surely, 2^{212322232013100} is an apocalyptic number.

212322232013100 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 212322232013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335215073820480).

212322232013100 is an abundant number, since it is smaller than the sum of its proper divisors (458107915627860).

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

212322232013100 is a wasteful number, since it uses less digits than its factorization.

212322232013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25343280 (or 25343273 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212322232013100 its reverse (1310232223212), we get a palindrome (213632464236312).

The spelling of 212322232013100 in words is "two hundred twelve trillion, three hundred twenty-two billion, two hundred thirty-two million, thirteen thousand, one hundred".