211223321123100 has 288 divisors, whose sum is σ = 741142757160960. Its totient is φ = 45742022784000.

The previous prime is 211223321123093. The next prime is 211223321123107. The reversal of 211223321123100 is 1321123322112.

It is an interprime number because it is at equal distance from previous prime (211223321123093) and next prime (211223321123107).

It is a super-2 number, since 2×211223321123100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211223321123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78083335 + ... + 80743134.

Almost surely, 2^{211223321123100} is an apocalyptic number.

211223321123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223321123100 is an abundant number, since it is smaller than the sum of its proper divisors (529919436037860).

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

211223321123100 is a wasteful number, since it uses less digits than its factorization.

211223321123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158826541 (or 158826534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211223321123100 its reverse (1321123322112), we get a palindrome (212544444445212).

The spelling of 211223321123100 in words is "two hundred eleven trillion, two hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred".