101101101121 has 8 divisors (see below), whose sum is σ = 102192481160. Its totient is φ = 100010723328.

The previous prime is 101101101113. The next prime is 101101101151. The reversal of 101101101121 is 121101101101.

It can be written as a sum of positive squares in 4 ways, for example, as 22302435600 + 78798665521 = 149340^2 + 280711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101101121 - 2³ = 101101101113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101101098 and 101101101107.

It is not an unprimeable number, because it can be changed into a prime (101101101151) by changing a digit.

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, 46836 + ... + 452101.

It is an arithmetic number, because the mean of its divisors is an integer number (12774060145).

Almost surely, 2^101101101121 is an apocalyptic number.

It is an amenable number.

101101101121 is a deficient number, since it is larger than the sum of its proper divisors (1091380039).

101101101121 is an equidigital number, since it uses as much as digits as its factorization.

101101101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501123.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101101101121 its reverse (121101101101), we get a palindrome (222202202222).

It can be divided in two parts, 101101101 and 121, that multiplied together give a palindrome (12233233221).

The spelling of 101101101121 in words is "one hundred one billion, one hundred one million, one hundred one thousand, one hundred twenty-one".