11100100100120 has 64 divisors (see below), whose sum is σ = 25045215361920. Its totient is φ = 4427599233024.

The previous prime is 11100100100107. The next prime is 11100100100123. The reversal of 11100100100120 is 2100100100111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11100100100098 and 11100100100107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100100100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282908024 + ... + 282947256.

It is an arithmetic number, because the mean of its divisors is an integer number (391331490030).

Almost surely, 2^{11100100100120} is an apocalyptic number.

11100100100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100100100120 is an abundant number, since it is smaller than the sum of its proper divisors (13945115261800).

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

11100100100120 is a wasteful number, since it uses less digits than its factorization.

11100100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58884 (or 58880 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11100100100120 its reverse (2100100100111), we get a palindrome (13200200200231).

Subtracting from 11100100100120 its reverse (2100100100111), we obtain a palindrome (9000000000009).

The spelling of 11100100100120 in words is "eleven trillion, one hundred billion, one hundred million, one hundred thousand, one hundred twenty".