211121310100 has 36 divisors (see below), whose sum is σ = 482245523200. Its totient is φ = 80003864160.

The previous prime is 211121310091. The next prime is 211121310107. The reversal of 211121310100 is 1013121112.

It is a happy number.

211121310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121310107) 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 11 ways as a sum of consecutive naturals, for example, 55556340 + ... + 55560139.

Almost surely, 2^211121310100 is an apocalyptic number.

211121310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121310100 is an abundant number, since it is smaller than the sum of its proper divisors (271124213100).

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

211121310100 is a wasteful number, since it uses less digits than its factorization.

211121310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111116512 (or 111116505 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 211121310100 its reverse (1013121112), we get a palindrome (212134431212).

The spelling of 211121310100 in words is "two hundred eleven billion, one hundred twenty-one million, three hundred ten thousand, one hundred".