2101113221121 has 6 divisors (see below), whose sum is σ = 3034941319410. Its totient is φ = 1400742147408.

The previous prime is 2101113221111. The next prime is 2101113221147. The reversal of 2101113221121 is 1211223111012.

It is a happy number.

2101113221121 is a `hidden beast` number, since 210 + 1 + 11 + 322 + 1 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1301276340225 + 799836880896 = 1140735^2 + 894336^2 .

It is not a de Polignac number, because 2101113221121 - 2⁷ = 2101113220993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101113221094 and 2101113221103.

It is not an unprimeable number, because it can be changed into a prime (2101113221111) 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, 116728512276 + ... + 116728512293.

It is an arithmetic number, because the mean of its divisors is an integer number (505823553235).

Almost surely, 2^{2101113221121} is an apocalyptic number.

It is an amenable number.

2101113221121 is a deficient number, since it is larger than the sum of its proper divisors (933828098289).

2101113221121 is a wasteful number, since it uses less digits than its factorization.

2101113221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233457024575 (or 233457024572 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2101113221121 its reverse (1211223111012), we get a palindrome (3312336332133).

The spelling of 2101113221121 in words is "two trillion, one hundred one billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred twenty-one".