2200101012001 has 2 divisors, whose sum is σ = 2200101012002. Its totient is φ = 2200101012000.

The previous prime is 2200101011879. The next prime is 2200101012029. The reversal of 2200101012001 is 1002101010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1250550158400 + 949550853601 = 1118280^2 + 974449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200101012001 - 2³³ = 2191511077409 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200101012091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100050506000 + 1100050506001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100050506001).

Almost surely, 2^{2200101012001} is an apocalyptic number.

It is an amenable number.

2200101012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200101012001 is an equidigital number, since it uses as much as digits as its factorization.

2200101012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2200101012001 its reverse (1002101010022), we get a palindrome (3202202022023).

The spelling of 2200101012001 in words is "two trillion, two hundred billion, one hundred one million, twelve thousand, one".