10111132121121 has 48 divisors (see below), whose sum is σ = 15911859497040. Its totient is φ = 6162907545600.

The previous prime is 10111132121117. The next prime is 10111132121131. The reversal of 10111132121121 is 12112123111101.

10111132121121 is a `hidden beast` number, since 1 + 0 + 1 + 111 + 321 + 211 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3503990891025 + 6607141230096 = 1871895^2 + 2570436^2 .

It is not a de Polignac number, because 10111132121121 - 2² = 10111132121117 is a prime.

It is a super-2 number, since 2×10111132121121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111132121094 and 10111132121103.

It is not an unprimeable number, because it can be changed into a prime (10111132121131) 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 47 ways as a sum of consecutive naturals, for example, 5353776 + ... + 6991793.

It is an arithmetic number, because the mean of its divisors is an integer number (331497072855).

Almost surely, 2^{10111132121121} is an apocalyptic number.

It is an amenable number.

10111132121121 is a deficient number, since it is larger than the sum of its proper divisors (5800727375919).

10111132121121 is a wasteful number, since it uses less digits than its factorization.

10111132121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345746 (or 12345743 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 10111132121121 its reverse (12112123111101), we get a palindrome (22223255232222).

The spelling of 10111132121121 in words is "ten trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty-one".