10111111021121 has 6 divisors (see below), whose sum is σ = 11113865833266. Its totient is φ = 9191919110000.

The previous prime is 10111111021103. The next prime is 10111111021147. The reversal of 10111111021121 is 12112011111101.

It can be written as a sum of positive squares in only one way, i.e., 10000014798400 + 111096222721 = 3162280^2 + 333311^2 .

It is not a de Polignac number, because 10111111021121 - 2¹⁸ = 10111110758977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10111111021096 and 10111111021105.

It is not an unprimeable number, because it can be changed into a prime (10111111051121) 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 5 ways as a sum of consecutive naturals, for example, 41781450380 + ... + 41781450621.

It is an arithmetic number, because the mean of its divisors is an integer number (1852310972211).

Almost surely, 2^{10111111021121} is an apocalyptic number.

10111111021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111111021121 is a deficient number, since it is larger than the sum of its proper divisors (1002754812145).

10111111021121 is an equidigital number, since it uses as much as digits as its factorization.

10111111021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83562901023 (or 83562901012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10111111021121 its reverse (12112011111101), we get a palindrome (22223122132222).

The spelling of 10111111021121 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, twenty-one thousand, one hundred twenty-one".