211545306100 has 18 divisors (see below), whose sum is σ = 459053314454. Its totient is φ = 84618122400.

The previous prime is 211545306097. The next prime is 211545306109. The reversal of 211545306100 is 1603545112.

It can be written as a sum of positive squares in 3 ways, for example, as 924889744 + 210620416356 = 30412^2 + 458934^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211545306109) 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 5 ways as a sum of consecutive naturals, for example, 1057726431 + ... + 1057726630.

Almost surely, 2^211545306100 is an apocalyptic number.

211545306100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211545306100 is an abundant number, since it is smaller than the sum of its proper divisors (247508008354).

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

211545306100 is a wasteful number, since it uses less digits than its factorization.

211545306100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115453075 (or 2115453068 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 211545306100 in words is "two hundred eleven billion, five hundred forty-five million, three hundred six thousand, one hundred".