100211221 has 8 divisors (see below), whose sum is σ = 110325600. Its totient is φ = 90264240.

The previous prime is 100211183. The next prime is 100211231. The reversal of 100211221 is 122112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100211221 - 2⁹ = 100210709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100211198 and 100211207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40591 + ... + 42988.

It is an arithmetic number, because the mean of its divisors is an integer number (13790700).

Almost surely, 2^100211221 is an apocalyptic number.

100211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211221 is a deficient number, since it is larger than the sum of its proper divisors (10114379).

100211221 is a wasteful number, since it uses less digits than its factorization.

100211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83699.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 100211221 is about 10010.5554790931. Note that the first 3 decimals coincide. The cubic root of 100211221 is about 464.4854538856.

Adding to 100211221 its reverse (122112001), we get a palindrome (222323222).

The spelling of 100211221 in words is "one hundred million, two hundred eleven thousand, two hundred twenty-one".