101110100000101 has 2 divisors, whose sum is σ = 101110100000102. Its totient is φ = 101110100000100.

The previous prime is 101110100000081. The next prime is 101110100000137. The reversal of 101110100000101 is 101000001011101.

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., 100964836111876 + 145263888225 = 10048126^2 + 381135^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110100000101 - 2¹⁷ = 101110099869029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110107000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555050000050 + 50555050000051.

It is an arithmetic number, because the mean of its divisors is an integer number (50555050000051).

Almost surely, 2^{101110100000101} is an apocalyptic number.

It is an amenable number.

101110100000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110100000101 is an equidigital number, since it uses as much as digits as its factorization.

101110100000101 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 101110100000101 its reverse (101000001011101), we get a palindrome (202110101011202).

The spelling of 101110100000101 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred one", and thus it is an aban number.