2122212002101 has 2 divisors, whose sum is σ = 2122212002102. Its totient is φ = 2122212002100.

The previous prime is 2122212002087. The next prime is 2122212002107. The reversal of 2122212002101 is 1012002122212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1389159247876 + 733052754225 = 1178626^2 + 856185^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212002101 - 2⁹ = 2122212001589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122212002107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061106001050 + 1061106001051.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106001051).

Almost surely, 2^{2122212002101} is an apocalyptic number.

It is an amenable number.

2122212002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212002101 is an equidigital number, since it uses as much as digits as its factorization.

2122212002101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122212002101 its reverse (1012002122212), we get a palindrome (3134214124313).

The spelling of 2122212002101 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two thousand, one hundred one".