1110100021120 has 64 divisors (see below), whose sum is σ = 2654759059200. Its totient is φ = 443885037568.

The previous prime is 1110100021091. The next prime is 1110100021241. The reversal of 1110100021120 is 211200010111.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1110100021097 and 1110100021106.

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 7 ways as a sum of consecutive naturals, for example, 1541322 + ... + 2143798.

It is an arithmetic number, because the mean of its divisors is an integer number (41480610300).

Almost surely, 2^{1110100021120} is an apocalyptic number.

1110100021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110100021120 is an abundant number, since it is smaller than the sum of its proper divisors (1544659038080).

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

1110100021120 is an equidigital number, since it uses as much as digits as its factorization.

1110100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605375 (or 605363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110100021120 its reverse (211200010111), we get a palindrome (1321300031231).

The spelling of 1110100021120 in words is "one trillion, one hundred ten billion, one hundred million, twenty-one thousand, one hundred twenty".