2100011122201 has 2 divisors, whose sum is σ = 2100011122202. Its totient is φ = 2100011122200.

The previous prime is 2100011122189. The next prime is 2100011122259. The reversal of 2100011122201 is 1022211100012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2041115112976 + 58896009225 = 1428676^2 + 242685^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100011122201 - 2⁷ = 2100011122073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100011122291) 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, 1050005561100 + 1050005561101.

It is an arithmetic number, because the mean of its divisors is an integer number (1050005561101).

Almost surely, 2^{2100011122201} is an apocalyptic number.

It is an amenable number.

2100011122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100011122201 is an equidigital number, since it uses as much as digits as its factorization.

2100011122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100011122201 its reverse (1022211100012), we get a palindrome (3122222222213).

The spelling of 2100011122201 in words is "two trillion, one hundred billion, eleven million, one hundred twenty-two thousand, two hundred one".