111212202212111 has 216 divisors, whose sum is σ = 162939288379392. Its totient is φ = 75436061500800.

The previous prime is 111212202212093. The next prime is 111212202212123.

It is a happy number.

111212202212111 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-111212202212111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212202212131) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1636233650 + ... + 1636301616.

It is an arithmetic number, because the mean of its divisors is an integer number (754348557312).

Almost surely, 2^{111212202212111} is an apocalyptic number.

111212202212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111212202212111 is a deficient number, since it is larger than the sum of its proper divisors (51727086167281).

111212202212111 is a wasteful number, since it uses less digits than its factorization.

111212202212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68123 (or 68092 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 11121220 and 2212111, that added together give a palindrome (13333331).

The spelling of 111212202212111 in words is "one hundred eleven trillion, two hundred twelve billion, two hundred two million, two hundred twelve thousand, one hundred eleven".