111212121120100 has 864 divisors, whose sum is σ = 337781955071232. Its totient is φ = 31232678400000.

The previous prime is 111212121120083. The next prime is 111212121120119. The reversal of 111212121120100 is 1021121212111.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5024708634 + ... + 5024730766.

It is an arithmetic number, because the mean of its divisors is an integer number (390951336888).

Almost surely, 2^{111212121120100} is an apocalyptic number.

111212121120100 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 111212121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168890977535616).

111212121120100 is an abundant number, since it is smaller than the sum of its proper divisors (226569833951132).

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

111212121120100 is a wasteful number, since it uses less digits than its factorization.

111212121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22357 (or 22343 counting only the distinct ones).

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

Adding to 111212121120100 its reverse (1021121212111), we get a palindrome (112233242332211).

The spelling of 111212121120100 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".