111111022012100 has 144 divisors (see below), whose sum is σ = 278595086648256. Its totient is φ = 38014652928000.

The previous prime is 111111022012087. The next prime is 111111022012103. The reversal of 111111022012100 is 1210220111111.

It is not an unprimeable number, because it can be changed into a prime (111111022012103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55319024 + ... + 57292376.

It is an arithmetic number, because the mean of its divisors is an integer number (1934688101724).

Almost surely, 2^{111111022012100} is an apocalyptic number.

111111022012100 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 111111022012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139297543324128).

111111022012100 is an abundant number, since it is smaller than the sum of its proper divisors (167484064636156).

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

111111022012100 is a wasteful number, since it uses less digits than its factorization.

111111022012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976406 (or 1976399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111111022012100 its reverse (1210220111111), we get a palindrome (112321242123211).

The spelling of 111111022012100 in words is "one hundred eleven trillion, one hundred eleven billion, twenty-two million, twelve thousand, one hundred".