111210212111020 has 288 divisors, whose sum is σ = 267678142857216. Its totient is φ = 38484200832000.

The previous prime is 111210212111003. The next prime is 111210212111027. The reversal of 111210212111020 is 20111212012111.

It is a super-2 number, since 2×111210212111020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111210212110985 and 111210212111003.

It is not an unprimeable number, because it can be changed into a prime (111210212111027) 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 95 ways as a sum of consecutive naturals, for example, 4167192117 + ... + 4167218803.

It is an arithmetic number, because the mean of its divisors is an integer number (929437996032).

Almost surely, 2^{111210212111020} is an apocalyptic number.

111210212111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111210212111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133839071428608).

111210212111020 is an abundant number, since it is smaller than the sum of its proper divisors (156467930746196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111210212111020 is a wasteful number, since it uses less digits than its factorization.

111210212111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27089 (or 27058 counting only the distinct ones).

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

Adding to 111210212111020 its reverse (20111212012111), we get a palindrome (131321424123131).

The spelling of 111210212111020 in words is "one hundred eleven trillion, two hundred ten billion, two hundred twelve million, one hundred eleven thousand, twenty".