1101101351120 has 40 divisors (see below), whose sum is σ = 2573055909864. Its totient is φ = 438204795392.

The previous prime is 1101101351117. The next prime is 1101101351153. The reversal of 1101101351120 is 211531011011.

It can be written as a sum of positive squares in 4 ways, for example, as 661463396416 + 439637954704 = 813304^2 + 663052^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34917659 + ... + 34949178.

Almost surely, 2^{1101101351120} is an apocalyptic number.

1101101351120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101101351120 is an abundant number, since it is smaller than the sum of its proper divisors (1471954558744).

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

1101101351120 is a wasteful number, since it uses less digits than its factorization.

1101101351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69867047 (or 69867041 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 1101101351120 its reverse (211531011011), we get a palindrome (1312632362131).

The spelling of 1101101351120 in words is "one trillion, one hundred one billion, one hundred one million, three hundred fifty-one thousand, one hundred twenty".