2102122200001 has 2 divisors, whose sum is σ = 2102122200002. Its totient is φ = 2102122200000.

The previous prime is 2102122199987. The next prime is 2102122200041. The reversal of 2102122200001 is 1000022212012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1765379912976 + 336742287025 = 1328676^2 + 580295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102122200001 - 2¹⁹ = 2102121675713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102122200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051061100000 + 1051061100001.

It is an arithmetic number, because the mean of its divisors is an integer number (1051061100001).

Almost surely, 2^{2102122200001} is an apocalyptic number.

It is an amenable number.

2102122200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102122200001 is an equidigital number, since it uses as much as digits as its factorization.

2102122200001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2102122200001 its reverse (1000022212012), we get a palindrome (3102144412013).

The spelling of 2102122200001 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred thousand, one".