1000100111120 has 80 divisors (see below), whose sum is σ = 2536768082880. Its totient is φ = 363651187200.

The previous prime is 1000100111111. The next prime is 1000100111123. The reversal of 1000100111120 is 211110010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 1000100111098 and 1000100111107.

It is not an unprimeable number, because it can be changed into a prime (1000100111123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28997246 + ... + 29031714.

It is an arithmetic number, because the mean of its divisors is an integer number (31709601036).

Almost surely, 2^{1000100111120} is an apocalyptic number.

1000100111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100111120 is an abundant number, since it is smaller than the sum of its proper divisors (1536667971760).

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

1000100111120 is a wasteful number, since it uses less digits than its factorization.

1000100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67464 (or 67458 counting only the distinct ones).

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

Adding to 1000100111120 its reverse (211110010001), we get a palindrome (1211210121121).

The spelling of 1000100111120 in words is "one trillion, one hundred million, one hundred eleven thousand, one hundred twenty".