101000000010101 has 2 divisors, whose sum is σ = 101000000010102. Its totient is φ = 101000000010100.

The previous prime is 101000000010017. The next prime is 101000000010193. The reversal of 101000000010101 is 101010000000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63996016062001 + 37003983948100 = 7999751^2 + 6083090^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000000010101 - 2¹⁸ = 100999999747957 is a prime.

101000000010101 is a modest number, since divided by 10101 gives 101 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000000010001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000005050 + 50500000005051.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000005051).

Almost surely, 2^{101000000010101} is an apocalyptic number.

It is an amenable number.

101000000010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000000010101 is an equidigital number, since it uses as much as digits as its factorization.

101000000010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000000010101 its reverse (101010000000101), we get a palindrome (202010000010202).

The spelling of 101000000010101 in words is "one hundred one trillion, ten thousand, one hundred one".