211203010332100 has 216 divisors, whose sum is σ = 478219278257280. Its totient is φ = 80943695965440.

The previous prime is 211203010332073. The next prime is 211203010332103. The reversal of 211203010332100 is 1233010302112.

It is a super-2 number, since 2×211203010332100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211203010332103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2960768034 + ... + 2960839366.

It is an arithmetic number, because the mean of its divisors is an integer number (2213978140080).

Almost surely, 2^{211203010332100} is an apocalyptic number.

211203010332100 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 211203010332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239109639128640).

211203010332100 is an abundant number, since it is smaller than the sum of its proper divisors (267016267925180).

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

211203010332100 is a wasteful number, since it uses less digits than its factorization.

211203010332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71739 (or 71689 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211203010332100 its reverse (1233010302112), we get a palindrome (212436020634212).

The spelling of 211203010332100 in words is "two hundred eleven trillion, two hundred three billion, ten million, three hundred thirty-two thousand, one hundred".