2212100001901 has 2 divisors, whose sum is σ = 2212100001902. Its totient is φ = 2212100001900.

The previous prime is 2212100001899. The next prime is 2212100001907. The reversal of 2212100001901 is 1091000012122.

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., 1366500212676 + 845599789225 = 1168974^2 + 919565^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212100001901 - 2¹ = 2212100001899 is a prime.

It is a super-2 number, since 2×2212100001901² (a number of 25 digits) contains 22 as substring.

Together with 2212100001899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212100001907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106050000950 + 1106050000951.

It is an arithmetic number, because the mean of its divisors is an integer number (1106050000951).

Almost surely, 2^{2212100001901} is an apocalyptic number.

It is an amenable number.

2212100001901 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212100001901 is an equidigital number, since it uses as much as digits as its factorization.

2212100001901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 2212100001901 in words is "two trillion, two hundred twelve billion, one hundred million, one thousand, nine hundred one".