2002122201001 has 12 divisors (see below), whose sum is σ = 2168099688972. Its totient is φ = 1848009473856.

The previous prime is 2002122200993. The next prime is 2002122201029. The reversal of 2002122201001 is 1001022212002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 441374209600 + 1560747991401 = 664360^2 + 1249299^2 .

It is not a de Polignac number, because 2002122201001 - 2³ = 2002122200993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002122201031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2787115 + ... + 3431071.

It is an arithmetic number, because the mean of its divisors is an integer number (180674974081).

Almost surely, 2^{2002122201001} is an apocalyptic number.

It is an amenable number.

2002122201001 is a deficient number, since it is larger than the sum of its proper divisors (165977487971).

2002122201001 is a wasteful number, since it uses less digits than its factorization.

2002122201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662380 (or 662367 counting only the distinct ones).

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

Adding to 2002122201001 its reverse (1001022212002), we get a palindrome (3003144413003).

The spelling of 2002122201001 in words is "two trillion, two billion, one hundred twenty-two million, two hundred one thousand, one".