2212210100101 has 2 divisors, whose sum is σ = 2212210100102. Its totient is φ = 2212210100100.

The previous prime is 2212210100099. The next prime is 2212210100201. The reversal of 2212210100101 is 1010010122122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2171573587876 + 40636512225 = 1473626^2 + 201585^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212210100101 - 2¹ = 2212210100099 is a prime.

Together with 2212210100099, 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 (2212210100201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106105050050 + 1106105050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106105050051).

Almost surely, 2^{2212210100101} is an apocalyptic number.

It is an amenable number.

2212210100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212210100101 is an equidigital number, since it uses as much as digits as its factorization.

2212210100101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2212210100101 its reverse (1010010122122), we get a palindrome (3222220222223).

It can be divided in two parts, 22122 and 10100101, that multiplied together give a palindrome (223434434322).

The spelling of 2212210100101 in words is "two trillion, two hundred twelve billion, two hundred ten million, one hundred thousand, one hundred one".