101112221102111 has 32 divisors (see below), whose sum is σ = 106143373416960. Its totient is φ = 96200765337600.

The previous prime is 101112221102089. The next prime is 101112221102171. The reversal of 101112221102111 is 111201122211101.

It is a cyclic number.

It is not a de Polignac number, because 101112221102111 - 2¹⁴ = 101112221085727 is a prime.

It is a super-3 number, since 3×101112221102111³ (a number of 43 digits) contains 333 as substring.

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 101112221102111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112221102171) 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 31 ways as a sum of consecutive naturals, for example, 886977905 + ... + 887091893.

It is an arithmetic number, because the mean of its divisors is an integer number (3316980419280).

Almost surely, 2^{101112221102111} is an apocalyptic number.

101112221102111 is a deficient number, since it is larger than the sum of its proper divisors (5031152314849).

101112221102111 is a wasteful number, since it uses less digits than its factorization.

101112221102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115347.

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

Adding to 101112221102111 its reverse (111201122211101), we get a palindrome (212313343313212).

The spelling of 101112221102111 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-one million, one hundred two thousand, one hundred eleven".