10221122112101 has 2 divisors, whose sum is σ = 10221122112102. Its totient is φ = 10221122112100.

The previous prime is 10221122112031. The next prime is 10221122112119. The reversal of 10221122112101 is 10121122112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9844696915876 + 376425196225 = 3137626^2 + 613535^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221122112101 - 2³⁴ = 10203942242917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10221122112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221122112181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110561056050 + 5110561056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5110561056051).

Almost surely, 2^{10221122112101} is an apocalyptic number.

It is an amenable number.

10221122112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221122112101 is an equidigital number, since it uses as much as digits as its factorization.

10221122112101 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 17.

Adding to 10221122112101 its reverse (10121122112201), we get a palindrome (20342244224302).

The spelling of 10221122112101 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".