2002122010201 has 8 divisors (see below), whose sum is σ = 2120625700200. Its totient is φ = 1883699632128.

The previous prime is 2002122010193. The next prime is 2002122010237. The reversal of 2002122010201 is 1020102212002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 600277850176 + 1401844160025 = 774776^2 + 1183995^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002122010201 - 2³ = 2002122010193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002122016201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20277276 + ... + 20375773.

It is an arithmetic number, because the mean of its divisors is an integer number (265078212525).

Almost surely, 2^{2002122010201} is an apocalyptic number.

It is an amenable number.

2002122010201 is a deficient number, since it is larger than the sum of its proper divisors (118503689999).

2002122010201 is a wasteful number, since it uses less digits than its factorization.

2002122010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40655963.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2002122010201 its reverse (1020102212002), we get a palindrome (3022224222203).

The spelling of 2002122010201 in words is "two trillion, two billion, one hundred twenty-two million, ten thousand, two hundred one".