2221122000101 has 2 divisors, whose sum is σ = 2221122000102. Its totient is φ = 2221122000100.

The previous prime is 2221122000091. The next prime is 2221122000109. The reversal of 2221122000101 is 1010002211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1295920408225 + 925201591876 = 1138385^2 + 961874^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221122000101 - 2⁶ = 2221122000037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221122000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561000050 + 1110561000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561000051).

Almost surely, 2^{2221122000101} is an apocalyptic number.

It is an amenable number.

2221122000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221122000101 is an equidigital number, since it uses as much as digits as its factorization.

2221122000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2221122000101 its reverse (1010002211222), we get a palindrome (3231124211323).

The spelling of 2221122000101 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.