100211210221221 has 48 divisors (see below), whose sum is σ = 159219317537280. Its totient is φ = 60230548404000.

The previous prime is 100211210221189. The next prime is 100211210221223. The reversal of 100211210221221 is 122122012112001.

100211210221221 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 11 + 210 + 221 + 221 = 666.

It is not a de Polignac number, because 100211210221221 - 2⁵ = 100211210221189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100211210221194 and 100211210221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211210221223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17039250 + ... + 22153068.

It is an arithmetic number, because the mean of its divisors is an integer number (3317069115360).

Almost surely, 2^{100211210221221} is an apocalyptic number.

100211210221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211210221221 is a deficient number, since it is larger than the sum of its proper divisors (59008107316059).

100211210221221 is a wasteful number, since it uses less digits than its factorization.

100211210221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115478 (or 5115475 counting only the distinct ones).

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

Adding to 100211210221221 its reverse (122122012112001), we get a palindrome (222333222333222).

The spelling of 100211210221221 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred twenty-one thousand, two hundred twenty-one".