100212101122221 has 32 divisors (see below), whose sum is σ = 161979360681600. Its totient is φ = 60726953226240.

The previous prime is 100212101122187. The next prime is 100212101122229. The reversal of 100212101122221 is 122221101212001.

100212101122221 is a `hidden beast` number, since 10 + 0 + 212 + 101 + 122 + 221 = 666.

It is not a de Polignac number, because 100212101122221 - 2⁶ = 100212101122157 is a prime.

It is a super-2 number, since 2×100212101122221² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100212101122194 and 100212101122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212101122229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18898506 + ... + 23613083.

It is an arithmetic number, because the mean of its divisors is an integer number (5061855021300).

Almost surely, 2^{100212101122221} is an apocalyptic number.

100212101122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212101122221 is a deficient number, since it is larger than the sum of its proper divisors (61767259559379).

100212101122221 is a wasteful number, since it uses less digits than its factorization.

100212101122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42519546 (or 42519540 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212101122221 its reverse (122221101212001), we get a palindrome (222433202334222).

The spelling of 100212101122221 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-one".