111101012200100 has 72 divisors (see below), whose sum is σ = 259702981773480. Its totient is φ = 41011095214080.

The previous prime is 111101012200097. The next prime is 111101012200133. The reversal of 111101012200100 is 1002210101111.

It can be written as a sum of positive squares in 12 ways, for example, as 96584119709284 + 14516892490816 = 9827722^2 + 3810104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334895 + ... + 16196694.

It is an arithmetic number, because the mean of its divisors is an integer number (3606985857965).

Almost surely, 2^{111101012200100} is an apocalyptic number.

111101012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101012200100 is an abundant number, since it is smaller than the sum of its proper divisors (148601969573380).

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

111101012200100 is a wasteful number, since it uses less digits than its factorization.

111101012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22535409 (or 22535402 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111101012200100 its reverse (1002210101111), we get a palindrome (112103222301211).

The spelling of 111101012200100 in words is "one hundred eleven trillion, one hundred one billion, twelve million, two hundred thousand, one hundred".