111121120100 has 36 divisors (see below), whose sum is σ = 241166884644. Its totient is φ = 44442170880.

The previous prime is 111121120073. The next prime is 111121120111. The reversal of 111121120100 is 1021121111.

It can be written as a sum of positive squares in 6 ways, for example, as 34993688356 + 76127431744 = 187066^2 + 275912^2 .

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 11 ways as a sum of consecutive naturals, for example, 668552 + ... + 818048.

It is an arithmetic number, because the mean of its divisors is an integer number (6699080129).

Almost surely, 2^111121120100 is an apocalyptic number.

111121120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111121120100 is an abundant number, since it is smaller than the sum of its proper divisors (130045764544).

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

111121120100 is a wasteful number, since it uses less digits than its factorization.

111121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156944 (or 156937 counting only the distinct ones).

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

Adding to 111121120100 its reverse (1021121111), we get a palindrome (112142241211).

It can be divided in two parts, 1111211 and 20100, that added together give a palindrome (1131311).

The spelling of 111121120100 in words is "one hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".