211121200100000 has 144 divisors (see below), whose sum is σ = 520054820595576. Its totient is φ = 84362004480000.

The previous prime is 211121200099991. The next prime is 211121200100003. The reversal of 211121200100000 is 1002121112.

It can be written as a sum of positive squares in 12 ways, for example, as 59241900159376 + 151879299940624 = 7696876^2 + 12323932^2 .

It is a super-2 number, since 2×211121200100000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211121200100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96619544 + ... + 98780456.

Almost surely, 2^{211121200100000} is an apocalyptic number.

211121200100000 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 211121200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260027410297788).

211121200100000 is an abundant number, since it is smaller than the sum of its proper divisors (308933620495576).

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

211121200100000 is an frugal number, since it uses more digits than its factorization.

211121200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161925 (or 2161897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211121200100000 its reverse (1002121112), we get a palindrome (211122202221112).

The spelling of 211121200100000 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred million, one hundred thousand".