10101005150101 has 2 divisors, whose sum is σ = 10101005150102. Its totient is φ = 10101005150100.

The previous prime is 10101005150053. The next prime is 10101005150113. The reversal of 10101005150101 is 10105150010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8217108902500 + 1883896247601 = 2866550^2 + 1372551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101005150101 - 2⁹ = 10101005149589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101005150191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050502575050 + 5050502575051.

It is an arithmetic number, because the mean of its divisors is an integer number (5050502575051).

Almost surely, 2^{10101005150101} is an apocalyptic number.

It is an amenable number.

10101005150101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101005150101 is an equidigital number, since it uses as much as digits as its factorization.

10101005150101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 10101005150101 its reverse (10105150010101), we get a palindrome (20206155160202).

The spelling of 10101005150101 in words is "ten trillion, one hundred one billion, five million, one hundred fifty thousand, one hundred one".