10001001120101 has 2 divisors, whose sum is σ = 10001001120102. Its totient is φ = 10001001120100.

The previous prime is 10001001120091. The next prime is 10001001120113. The reversal of 10001001120101 is 10102110010001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5771520955201 + 4229480164900 = 2402399^2 + 2056570^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001120101 - 2⁶ = 10001001120037 is a prime.

It is a super-2 number, since 2×10001001120101² (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 (10001001120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500560050 + 5000500560051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500560051).

Almost surely, 2^{10001001120101} is an apocalyptic number.

It is an amenable number.

10001001120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001120101 is an equidigital number, since it uses as much as digits as its factorization.

10001001120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001001120101 its reverse (10102110010001), we get a palindrome (20103111130102).

The spelling of 10001001120101 in words is "ten trillion, one billion, one million, one hundred twenty thousand, one hundred one".