211450101200 has 240 divisors, whose sum is σ = 581262848880. Its totient is φ = 73342402560.

The previous prime is 211450101151. The next prime is 211450101209. The reversal of 211450101200 is 2101054112.

It can be written as a sum of positive squares in 24 ways, for example, as 187603329424 + 23846771776 = 433132^2 + 154424^2 .

It is a super-2 number, since 2×211450101200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211450101209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5560652 + ... + 5598548.

It is an arithmetic number, because the mean of its divisors is an integer number (2421928537).

Almost surely, 2^211450101200 is an apocalyptic number.

211450101200 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 211450101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290631424440).

211450101200 is an abundant number, since it is smaller than the sum of its proper divisors (369812747680).

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

211450101200 is a wasteful number, since it uses less digits than its factorization.

211450101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37994 (or 37983 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 211450101200 its reverse (2101054112), we get a palindrome (213551155312).

The spelling of 211450101200 in words is "two hundred eleven billion, four hundred fifty million, one hundred one thousand, two hundred".