111212012121100 has 144 divisors (see below), whose sum is σ = 267766170305760. Its totient is φ = 39755200460800.

The previous prime is 111212012121059. The next prime is 111212012121187. The reversal of 111212012121100 is 1121210212111.

It is a super-2 number, since 2×111212012121100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13653534 + ... + 20219866.

It is an arithmetic number, because the mean of its divisors is an integer number (1859487293790).

Almost surely, 2^{111212012121100} is an apocalyptic number.

111212012121100 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 111212012121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133883085152880).

111212012121100 is an abundant number, since it is smaller than the sum of its proper divisors (156554158184660).

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

111212012121100 is a wasteful number, since it uses less digits than its factorization.

111212012121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566620 (or 6566613 counting only the distinct ones).

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

Adding to 111212012121100 its reverse (1121210212111), we get a palindrome (112333222333211).

The spelling of 111212012121100 in words is "one hundred eleven trillion, two hundred twelve billion, twelve million, one hundred twenty-one thousand, one hundred".