10222121000101 has 2 divisors, whose sum is σ = 10222121000102. Its totient is φ = 10222121000100.

The previous prime is 10222121000081. The next prime is 10222121000153. The reversal of 10222121000101 is 10100012122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7983054684900 + 2239066315201 = 2825430^2 + 1496351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222121000101 - 2⁹ = 10222120999589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222121000701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111060500050 + 5111060500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5111060500051).

Almost surely, 2^{10222121000101} is an apocalyptic number.

It is an amenable number.

10222121000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222121000101 is an equidigital number, since it uses as much as digits as its factorization.

10222121000101 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 10222121000101 its reverse (10100012122201), we get a palindrome (20322133122302).

The spelling of 10222121000101 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.