10111121221211 has 16 divisors (see below), whose sum is σ = 10282467179520. Its totient is φ = 9940395099360.

The previous prime is 10111121221189. The next prime is 10111121221217. The reversal of 10111121221211 is 11212212111101.

It is a cyclic number.

It is not a de Polignac number, because 10111121221211 - 2¹⁴ = 10111121204827 is a prime.

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 10111121221211.

It is not an unprimeable number, because it can be changed into a prime (10111121221217) 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 15 ways as a sum of consecutive naturals, for example, 71823830 + ... + 71964468.

It is an arithmetic number, because the mean of its divisors is an integer number (642654198720).

Almost surely, 2^{10111121221211} is an apocalyptic number.

10111121221211 is a deficient number, since it is larger than the sum of its proper divisors (171345958309).

10111121221211 is a wasteful number, since it uses less digits than its factorization.

10111121221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142834.

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

Adding to 10111121221211 its reverse (11212212111101), we get a palindrome (21323333332312).

The spelling of 10111121221211 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred eleven".