2001292121 has 2 divisors, whose sum is σ = 2001292122. Its totient is φ = 2001292120.

The previous prime is 2001292093. The next prime is 2001292133. The reversal of 2001292121 is 1212921002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1999878400 + 1413721 = 44720^2 + 1189^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001292121 - 2⁶ = 2001292057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001292093 and 2001292102.

It is not a weakly prime, because it can be changed into another prime (2001292171) 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 as a sum of consecutive naturals, namely, 1000646060 + 1000646061.

It is an arithmetic number, because the mean of its divisors is an integer number (1000646061).

Almost surely, 2^2001292121 is an apocalyptic number.

It is an amenable number.

2001292121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001292121 is an equidigital number, since it uses as much as digits as its factorization.

2001292121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2001292121 is about 44735.8035694007. The cubic root of 2001292121 is about 1260.1923198921.

The spelling of 2001292121 in words is "two billion, one million, two hundred ninety-two thousand, one hundred twenty-one".