2001112121 has 2 divisors, whose sum is σ = 2001112122. Its totient is φ = 2001112120.

The previous prime is 2001112111. The next prime is 2001112147. The reversal of 2001112121 is 1212111002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1809566521 + 191545600 = 42539^2 + 13840^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001112121 - 2²⁶ = 1934003257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2001112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000556060 + 1000556061.

It is an arithmetic number, because the mean of its divisors is an integer number (1000556061).

Almost surely, 2^2001112121 is an apocalyptic number.

It is an amenable number.

2001112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001112121 is an equidigital number, since it uses as much as digits as its factorization.

2001112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2001112121 is about 44733.7917127533. The cubic root of 2001112121 is about 1260.1545373988.

Adding to 2001112121 its reverse (1212111002), we get a palindrome (3213223123).

The spelling of 2001112121 in words is "two billion, one million, one hundred twelve thousand, one hundred twenty-one".