12101121211211 has 8 divisors (see below), whose sum is σ = 12975141136320. Its totient is φ = 11245122315648.

The previous prime is 12101121211187. The next prime is 12101121211307. The reversal of 12101121211211 is 11211212110121.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12101121211211 is a prime.

It is a super-3 number, since 3×12101121211211³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101121211211.

It is not an unprimeable number, because it can be changed into a prime (12101121211511) 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, 4505255996 + ... + 4505258681.

It is an arithmetic number, because the mean of its divisors is an integer number (1621892642040).

Almost surely, 2^{12101121211211} is an apocalyptic number.

12101121211211 is a deficient number, since it is larger than the sum of its proper divisors (874019925109).

12101121211211 is an equidigital number, since it uses as much as digits as its factorization.

12101121211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010514773.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12101121211211 its reverse (11211212110121), we get a palindrome (23312333321332).

The spelling of 12101121211211 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred eleven".