1100112100020 has 144 divisors (see below), whose sum is σ = 3475467934848. Its totient is φ = 281414165760.

The previous prime is 1100112099967. The next prime is 1100112100027. The reversal of 1100112100020 is 200012110011.

It is a happy number.

It is a super-2 number, since 2×1100112100020² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100112099975 and 1100112100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112100027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 690394 + ... + 1636113.

It is an arithmetic number, because the mean of its divisors is an integer number (24135193992).

Almost surely, 2^{1100112100020} is an apocalyptic number.

1100112100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100112100020 is an abundant number, since it is smaller than the sum of its proper divisors (2375355834828).

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

1100112100020 is a wasteful number, since it uses less digits than its factorization.

1100112100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326630 (or 2326625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100112100020 its reverse (200012110011), we get a palindrome (1300124210031).

Subtracting from 1100112100020 its reverse (200012110011), we obtain a palindrome (900099990009).

The spelling of 1100112100020 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred thousand, twenty".