121122011100211 has 8 divisors (see below), whose sum is σ = 132134107347648. Its totient is φ = 110110082241000.

The previous prime is 121122011100179. The next prime is 121122011100221. The reversal of 121122011100211 is 112001110221121.

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 121122011100211 - 2⁵ = 121122011100179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122011100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40331685 + ... + 43230646.

It is an arithmetic number, because the mean of its divisors is an integer number (16516763418456).

Almost surely, 2^{121122011100211} is an apocalyptic number.

121122011100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121122011100211 is a deficient number, since it is larger than the sum of its proper divisors (11012096247437).

121122011100211 is a wasteful number, since it uses less digits than its factorization.

121122011100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83694113.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 121122011100211 its reverse (112001110221121), we get a palindrome (233123121321332).

The spelling of 121122011100211 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, eleven million, one hundred thousand, two hundred eleven".