2212005126101 has 2 divisors, whose sum is σ = 2212005126102. Its totient is φ = 2212005126100.

The previous prime is 2212005126083. The next prime is 2212005126131. The reversal of 2212005126101 is 1016215002122.

2212005126101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1845101139025 + 366903987076 = 1358345^2 + 605726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2212005126101 is a prime.

It is a super-2 number, since 2×2212005126101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212005126131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106002563050 + 1106002563051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106002563051).

Almost surely, 2^{2212005126101} is an apocalyptic number.

It is an amenable number.

2212005126101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212005126101 is an equidigital number, since it uses as much as digits as its factorization.

2212005126101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 2212005126101 in words is "two trillion, two hundred twelve billion, five million, one hundred twenty-six thousand, one hundred one".