11100001111120 has 40 divisors (see below), whose sum is σ = 25807654570464. Its totient is φ = 4439974296192.

The previous prime is 11100001111117. The next prime is 11100001111123. The reversal of 11100001111120 is 2111110000111.

It is an interprime number because it is at equal distance from previous prime (11100001111117) and next prime (11100001111123).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 11100001111097 and 11100001111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001111123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18968347 + ... + 19544773.

Almost surely, 2^{11100001111120} is an apocalyptic number.

11100001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100001111120 is an abundant number, since it is smaller than the sum of its proper divisors (14707653459344).

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

11100001111120 is a wasteful number, since it uses less digits than its factorization.

11100001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817147 (or 817141 counting only the distinct ones).

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

Adding to 11100001111120 its reverse (2111110000111), we get a palindrome (13211111111231).

The spelling of 11100001111120 in words is "eleven trillion, one hundred billion, one million, one hundred eleven thousand, one hundred twenty".