2002212112001 has 2 divisors, whose sum is σ = 2002212112002. Its totient is φ = 2002212112000.

The previous prime is 2002212111923. The next prime is 2002212112063. The reversal of 2002212112001 is 1002112122002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1601680080625 + 400532031376 = 1265575^2 + 632876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002212112001 - 2²⁶ = 2002145003137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002212111001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001106056000 + 1001106056001.

It is an arithmetic number, because the mean of its divisors is an integer number (1001106056001).

Almost surely, 2^{2002212112001} is an apocalyptic number.

It is an amenable number.

2002212112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002212112001 is an equidigital number, since it uses as much as digits as its factorization.

2002212112001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002212112001 its reverse (1002112122002), we get a palindrome (3004324234003).

The spelling of 2002212112001 in words is "two trillion, two billion, two hundred twelve million, one hundred twelve thousand, one".