2000201121 has 20 divisors (see below), whose sum is σ = 3015380500. Its totient is φ = 1321227936.

The previous prime is 2000201059. The next prime is 2000201131. The reversal of 2000201121 is 1211020002.

It can be written as a sum of positive squares in 2 ways, for example, as 482241600 + 1517959521 = 21960^2 + 38961^2 .

It is not a de Polignac number, because 2000201121 - 2⁶ = 2000201057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000201131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104446 + ... + 122103.

It is an arithmetic number, because the mean of its divisors is an integer number (150769025).

Almost surely, 2^2000201121 is an apocalyptic number.

It is an amenable number.

2000201121 is a deficient number, since it is larger than the sum of its proper divisors (1015179379).

2000201121 is a wasteful number, since it uses less digits than its factorization.

2000201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226670 (or 226661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000201121 is about 44723.6080946070. The cubic root of 2000201121 is about 1259.9632812429.

Adding to 2000201121 its reverse (1211020002), we get a palindrome (3211221123).

The spelling of 2000201121 in words is "two billion, two hundred one thousand, one hundred twenty-one".