11120110110100 has 36 divisors (see below), whose sum is σ = 24369556178268. Its totient is φ = 4404004000000.

The previous prime is 11120110110089. The next prime is 11120110110149. The reversal of 11120110110100 is 101101102111.

It can be written as a sum of positive squares in 6 ways, for example, as 2802215736324 + 8317894373776 = 1673982^2 + 2884076^2 .

It is a super-3 number, since 3×11120110110100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550490401 + ... + 550510600.

It is an arithmetic number, because the mean of its divisors is an integer number (676932116063).

Almost surely, 2^{11120110110100} is an apocalyptic number.

11120110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120110110100 is an abundant number, since it is smaller than the sum of its proper divisors (13249446068168).

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

11120110110100 is a wasteful number, since it uses less digits than its factorization.

11120110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001116 (or 1101001109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11120110110100 its reverse (101101102111), we get a palindrome (11221211212211).

The spelling of 11120110110100 in words is "eleven trillion, one hundred twenty billion, one hundred ten million, one hundred ten thousand, one hundred".