121100213 has 8 divisors (see below), whose sum is σ = 130597656. Its totient is φ = 111628800.

The previous prime is 121100171. The next prime is 121100219. The reversal of 121100213 is 312001121.

It can be written as a sum of positive squares in 4 ways, for example, as 10387729 + 110712484 = 3223^2 + 10522^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 121100213 - 2¹⁶ = 121034677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121100194 and 121100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100219) 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 7 ways as a sum of consecutive naturals, for example, 3773 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (16324707).

Almost surely, 2^121100213 is an apocalyptic number.

121100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121100213 is a deficient number, since it is larger than the sum of its proper divisors (9497443).

121100213 is a wasteful number, since it uses less digits than its factorization.

121100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13015.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 121100213 is about 11004.5541936055. The cubic root of 121100213 is about 494.7452527235.

Adding to 121100213 its reverse (312001121), we get a palindrome (433101334).

The spelling of 121100213 in words is "one hundred twenty-one million, one hundred thousand, two hundred thirteen".