101010000110101 has 2 divisors, whose sum is σ = 101010000110102. Its totient is φ = 101010000110100.

The previous prime is 101010000110099. The next prime is 101010000110113. The reversal of 101010000110101 is 101011000010101.

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., 94328266251076 + 6681733859025 = 9712274^2 + 2584905^2 .

It is an emirp because it is prime and its reverse (101011000010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010000110101 - 2¹ = 101010000110099 is a prime.

Together with 101010000110099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000110191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000055050 + 50505000055051.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000055051).

Almost surely, 2^{101010000110101} is an apocalyptic number.

It is an amenable number.

101010000110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000110101 is an equidigital number, since it uses as much as digits as its factorization.

101010000110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101010000110101 its reverse (101011000010101), we get a palindrome (202021000120202).

The spelling of 101010000110101 in words is "one hundred one trillion, ten billion, one hundred ten thousand, one hundred one".