111121101120100 has 18 divisors (see below), whose sum is σ = 241132789430834. Its totient is φ = 44448440448000.

The previous prime is 111121101120083. The next prime is 111121101120109. The reversal of 111121101120100 is 1021101121111.

It can be written as a sum of positive squares in 3 ways, for example, as 20480838131776 + 90640262988324 = 4525576^2 + 9520518^2 .

It is a super-2 number, since 2×111121101120100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111121101120109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555605505501 + ... + 555605505700.

Almost surely, 2^{111121101120100} is an apocalyptic number.

111121101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111121101120100 is an abundant number, since it is smaller than the sum of its proper divisors (130011688310734).

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

111121101120100 is a wasteful number, since it uses less digits than its factorization.

111121101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111211011215 (or 1111211011208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111121101120100 its reverse (1021101121111), we get a palindrome (112142202241211).

The spelling of 111121101120100 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty thousand, one hundred".