10101111121 has 4 divisors (see below), whose sum is σ = 10107616932. Its totient is φ = 10094605312.

The previous prime is 10101111109. The next prime is 10101111143. The reversal of 10101111121 is 12111110101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 12111110101 = 31 ⋅390680971.

It can be written as a sum of positive squares in 2 ways, for example, as 4470259600 + 5630851521 = 66860^2 + 75039^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111121 - 2⁷ = 10101110993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101111098 and 10101111107.

It is not an unprimeable number, because it can be changed into a prime (10101111421) 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, 3250576 + ... + 3253681.

It is an arithmetic number, because the mean of its divisors is an integer number (2526904233).

Almost surely, 2^10101111121 is an apocalyptic number.

It is an amenable number.

10101111121 is a deficient number, since it is larger than the sum of its proper divisors (6505811).

10101111121 is an equidigital number, since it uses as much as digits as its factorization.

10101111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505810.

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

Adding to 10101111121 its reverse (12111110101), we get a palindrome (22212221222).

The spelling of 10101111121 in words is "ten billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".