211517208100 has 243 divisors, whose sum is σ = 523145482041. Its totient is φ = 74174284800.

The previous prime is 211517208079. The next prime is 211517208101. The reversal of 211517208100 is 1802715112.

The square root of 211517208100 is 459910.

It is a perfect power (a square), and thus also a powerful number.

211517208100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 172103841316 + 39413366784 = 414854^2 + 198528^2 .

It is a super-2 number, since 2×211517208100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211517208101) 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 80 ways as a sum of consecutive naturals, for example, 1871833644 + ... + 1871833756.

Almost surely, 2^211517208100 is an apocalyptic number.

211517208100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211517208100 is the 459910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211517208100

211517208100 is an abundant number, since it is smaller than the sum of its proper divisors (311628273941).

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

211517208100 is a wasteful number, since it uses less digits than its factorization.

211517208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The spelling of 211517208100 in words is "two hundred eleven billion, five hundred seventeen million, two hundred eight thousand, one hundred".