10003102022101 has 2 divisors, whose sum is σ = 10003102022102. Its totient is φ = 10003102022100.

The previous prime is 10003102022063. The next prime is 10003102022113. The reversal of 10003102022101 is 10122020130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5690128389201 + 4312973632900 = 2385399^2 + 2076770^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003102022101 - 2²³ = 10003093633493 is a prime.

It is a super-2 number, since 2×10003102022101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003102022131) 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, 5001551011050 + 5001551011051.

It is an arithmetic number, because the mean of its divisors is an integer number (5001551011051).

Almost surely, 2^{10003102022101} is an apocalyptic number.

It is an amenable number.

10003102022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003102022101 is an equidigital number, since it uses as much as digits as its factorization.

10003102022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10003102022101 its reverse (10122020130001), we get a palindrome (20125122152102).

The spelling of 10003102022101 in words is "ten trillion, three billion, one hundred two million, twenty-two thousand, one hundred one".