211121212200100 has 72 divisors (see below), whose sum is σ = 485766212800680. Its totient is φ = 79368823633920.

The previous prime is 211121212200023. The next prime is 211121212200113. The reversal of 211121212200100 is 1002212121112.

It can be written as a sum of positive squares in 12 ways, for example, as 130089673130596 + 81031539069504 = 11405686^2 + 9001752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86375059 + ... + 88785658.

It is an arithmetic number, because the mean of its divisors is an integer number (6746752955565).

Almost surely, 2^{211121212200100} is an apocalyptic number.

211121212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121212200100 is an abundant number, since it is smaller than the sum of its proper divisors (274645000600580).

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

211121212200100 is a wasteful number, since it uses less digits than its factorization.

211121212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175161457 (or 175161450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121212200100 its reverse (1002212121112), we get a palindrome (212123424321212).

The spelling of 211121212200100 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred".