211413122100 has 54 divisors (see below), whose sum is σ = 662662688870. Its totient is φ = 56376832320.

The previous prime is 211413122057. The next prime is 211413122101. The reversal of 211413122100 is 1221314112.

211413122100 is a `hidden beast` number, since 2 + 1 + 141 + 312 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1975091364 + 209438030736 = 44442^2 + 457644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211413122101) 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 17 ways as a sum of consecutive naturals, for example, 117450835 + ... + 117452634.

Almost surely, 2^211413122100 is an apocalyptic number.

211413122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211413122100 is an abundant number, since it is smaller than the sum of its proper divisors (451249566770).

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

211413122100 is a wasteful number, since it uses less digits than its factorization.

211413122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234903489 (or 234903479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211413122100 its reverse (1221314112), we get a palindrome (212634436212).

The spelling of 211413122100 in words is "two hundred eleven billion, four hundred thirteen million, one hundred twenty-two thousand, one hundred".