10221010112101 has 2 divisors, whose sum is σ = 10221010112102. Its totient is φ = 10221010112100.

The previous prime is 10221010112087. The next prime is 10221010112107. The reversal of 10221010112101 is 10121101012201.

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., 9111040402500 + 1109969709601 = 3018450^2 + 1053551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221010112101 - 2¹¹ = 10221010110053 is a prime.

It is a super-3 number, since 3×10221010112101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221010112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110505056050 + 5110505056051.

It is an arithmetic number, because the mean of its divisors is an integer number (5110505056051).

Almost surely, 2^{10221010112101} is an apocalyptic number.

It is an amenable number.

10221010112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221010112101 is an equidigital number, since it uses as much as digits as its factorization.

10221010112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10221010112101 its reverse (10121101012201), we get a palindrome (20342111124302).

The spelling of 10221010112101 in words is "ten trillion, two hundred twenty-one billion, ten million, one hundred twelve thousand, one hundred one".