211221210112100 has 18 divisors (see below), whose sum is σ = 458350025943474. Its totient is φ = 84488484044800.

The previous prime is 211221210112091. The next prime is 211221210112117. The reversal of 211221210112100 is 1211012122112.

It can be written as a sum of positive squares in 3 ways, for example, as 61907815895104 + 149313394216996 = 7868152^2 + 12219386^2 .

It is a super-2 number, since 2×211221210112100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1056106050461 + ... + 1056106050660.

It is an arithmetic number, because the mean of its divisors is an integer number (25463890330193).

Almost surely, 2^{211221210112100} is an apocalyptic number.

211221210112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221210112100 is an abundant number, since it is smaller than the sum of its proper divisors (247128815831374).

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

211221210112100 is a wasteful number, since it uses less digits than its factorization.

211221210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112212101135 (or 2112212101128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211221210112100 its reverse (1211012122112), we get a palindrome (212432222234212).

The spelling of 211221210112100 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred".