1101011121101 has 4 divisors (see below), whose sum is σ = 1119060483804. Its totient is φ = 1082961758400.

The previous prime is 1101011121073. The next prime is 1101011121107. The reversal of 1101011121101 is 1011211101011.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 345591136900 + 755419984201 = 587870^2 + 869149^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101011121101 - 2¹⁸ = 1101010858957 is a prime.

It is a super-3 number, since 3×1101011121101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101011121107) 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 3 ways as a sum of consecutive naturals, for example, 9024681260 + ... + 9024681381.

It is an arithmetic number, because the mean of its divisors is an integer number (279765120951).

Almost surely, 2^{1101011121101} is an apocalyptic number.

It is an amenable number.

1101011121101 is a deficient number, since it is larger than the sum of its proper divisors (18049362703).

1101011121101 is an equidigital number, since it uses as much as digits as its factorization.

1101011121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18049362702.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1101011121101 its reverse (1011211101011), we get a palindrome (2112222222112).

The spelling of 1101011121101 in words is "one trillion, one hundred one billion, eleven million, one hundred twenty-one thousand, one hundred one".