10111012111221 has 16 divisors (see below), whose sum is σ = 16077137270784. Its totient is φ = 5526515936304.

The previous prime is 10111012111199. The next prime is 10111012111231. The reversal of 10111012111221 is 12211121011101.

It is not a de Polignac number, because 10111012111221 - 2¹⁰ = 10111012110197 is a prime.

It is a super-2 number, since 2×10111012111221² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111012111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111012111231) 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 15 ways as a sum of consecutive naturals, for example, 10466885761 + ... + 10466886726.

It is an arithmetic number, because the mean of its divisors is an integer number (1004821079424).

Almost surely, 2^{10111012111221} is an apocalyptic number.

It is an amenable number.

10111012111221 is a deficient number, since it is larger than the sum of its proper divisors (5966125159563).

10111012111221 is a wasteful number, since it uses less digits than its factorization.

10111012111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20933772520.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10111012111221 its reverse (12211121011101), we get a palindrome (22322133122322).

The spelling of 10111012111221 in words is "ten trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, two hundred twenty-one".