1110201110100 has 108 divisors (see below), whose sum is σ = 3599859086460. Its totient is φ = 285844876800.

The previous prime is 1110201110047. The next prime is 1110201110131. The reversal of 1110201110100 is 10111020111.

It can be written as a sum of positive squares in 6 ways, for example, as 5822910864 + 1104378199236 = 76308^2 + 1050894^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21242121 + ... + 21294320.

Almost surely, 2^{1110201110100} is an apocalyptic number.

1110201110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110201110100 is an abundant number, since it is smaller than the sum of its proper divisors (2489657976360).

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

1110201110100 is a wasteful number, since it uses less digits than its factorization.

1110201110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42536490 (or 42536480 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1110201110100 its reverse (10111020111), we get a palindrome (1120312130211).

The spelling of 1110201110100 in words is "one trillion, one hundred ten billion, two hundred one million, one hundred ten thousand, one hundred".