1101101101020 has 96 divisors (see below), whose sum is σ = 3425799767040. Its totient is φ = 293613940800.

The previous prime is 1101101100991. The next prime is 1101101101027. The reversal of 1101101101020 is 201011011011.

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 = 1101101100993 and 1101101101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23230345 + ... + 23277695.

It is an arithmetic number, because the mean of its divisors is an integer number (35685414240).

Almost surely, 2^{1101101101020} is an apocalyptic number.

1101101101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101101101020 is an abundant number, since it is smaller than the sum of its proper divisors (2324698666020).

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

1101101101020 is a wasteful number, since it uses less digits than its factorization.

1101101101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90432 (or 90424 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101101101020 its reverse (201011011011), we get a palindrome (1302112112031).

Subtracting from 1101101101020 its reverse (201011011011), we obtain a palindrome (900090090009).

The spelling of 1101101101020 in words is "one trillion, one hundred one billion, one hundred one million, one hundred one thousand, twenty".