1101101112121 has 4 divisors (see below), whose sum is σ = 1101428726644. Its totient is φ = 1100773497600.

The previous prime is 1101101112107. The next prime is 1101101112193. The reversal of 1101101112121 is 1212111011011.

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 631651405225 + 469449706896 = 794765^2 + 685164^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101101112121 - 2¹⁹ = 1101100587833 is a prime.

It is a super-2 number, since 2×1101101112121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101101110121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163802220 + ... + 163808941.

It is an arithmetic number, because the mean of its divisors is an integer number (275357181661).

Almost surely, 2^{1101101112121} is an apocalyptic number.

It is an amenable number.

1101101112121 is a deficient number, since it is larger than the sum of its proper divisors (327614523).

1101101112121 is an equidigital number, since it uses as much as digits as its factorization.

1101101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327614522.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1101101112121 its reverse (1212111011011), we get a palindrome (2313212123132).

It can be divided in two parts, 11011011 and 12121, that multiplied together give a palindrome (133464464331).

The spelling of 1101101112121 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".