211223323122100 has 36 divisors (see below), whose sum is σ = 459800524843884. Its totient is φ = 84222801383680.

The previous prime is 211223323122029. The next prime is 211223323122107. The reversal of 211223323122100 is 1221323322112.

It can be written as a sum of positive squares in 6 ways, for example, as 84245853530916 + 126977469591184 = 9178554^2 + 11268428^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211223323122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3331566457 + ... + 3331629856.

It is an arithmetic number, because the mean of its divisors is an integer number (12772236801219).

Almost surely, 2^{211223323122100} is an apocalyptic number.

211223323122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223323122100 is an abundant number, since it is smaller than the sum of its proper divisors (248577201721784).

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

211223323122100 is a wasteful number, since it uses less digits than its factorization.

211223323122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663196644 (or 6663196637 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 211223323122100 its reverse (1221323322112), we get a palindrome (212444646444212).

It can be divided in two parts, 211223 and 323122100, that added together give a palindrome (323333323).

The spelling of 211223323122100 in words is "two hundred eleven trillion, two hundred twenty-three billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred".