10202122111001 has 2 divisors, whose sum is σ = 10202122111002. Its totient is φ = 10202122111000.

The previous prime is 10202122110991. The next prime is 10202122111039. The reversal of 10202122111001 is 10011122120201.

10202122111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9596333862025 + 605788248976 = 3097795^2 + 778324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202122111001 - 2¹⁴ = 10202122094617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202122110001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101061055500 + 5101061055501.

It is an arithmetic number, because the mean of its divisors is an integer number (5101061055501).

Almost surely, 2^{10202122111001} is an apocalyptic number.

It is an amenable number.

10202122111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202122111001 is an equidigital number, since it uses as much as digits as its factorization.

10202122111001 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 14.

Adding to 10202122111001 its reverse (10011122120201), we get a palindrome (20213244231202).

The spelling of 10202122111001 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred eleven thousand, one".