211414303100 has 288 divisors, whose sum is σ = 630307324416. Its totient is φ = 59410713600.

The previous prime is 211414303081. The next prime is 211414303103. The reversal of 211414303100 is 1303414112.

It is a super-2 number, since 2×211414303100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211414303103) 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, 4279742 + ... + 4328858.

Almost surely, 2^211414303100 is an apocalyptic number.

211414303100 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 211414303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315153662208).

211414303100 is an abundant number, since it is smaller than the sum of its proper divisors (418893021316).

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

211414303100 is a wasteful number, since it uses less digits than its factorization.

211414303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49205 (or 49198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211414303100 its reverse (1303414112), we get a palindrome (212717717212).

The spelling of 211414303100 in words is "two hundred eleven billion, four hundred fourteen million, three hundred three thousand, one hundred".