101001222121 has 2 divisors, whose sum is σ = 101001222122. Its totient is φ = 101001222120.

The previous prime is 101001222097. The next prime is 101001222151. The reversal of 101001222121 is 121222100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69031782121 + 31969440000 = 262739^2 + 178800^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001222121 - 2⁹ = 101001221609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001222151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500611060 + 50500611061.

It is an arithmetic number, because the mean of its divisors is an integer number (50500611061).

Almost surely, 2^101001222121 is an apocalyptic number.

It is an amenable number.

101001222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001222121 is an equidigital number, since it uses as much as digits as its factorization.

101001222121 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 101001222121 its reverse (121222100101), we get a palindrome (222223322222).

The spelling of 101001222121 in words is "one hundred one billion, one million, two hundred twenty-two thousand, one hundred twenty-one".