1016100101 has 2 divisors, whose sum is σ = 1016100102. Its totient is φ = 1016100100.

The previous prime is 1016100083. The next prime is 1016100121. The reversal of 1016100101 is 1010016101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1015951876 + 148225 = 31874^2 + 385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1016100101 - 2¹⁸ = 1015837957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1016100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508050050 + 508050051.

It is an arithmetic number, because the mean of its divisors is an integer number (508050051).

Almost surely, 2^1016100101 is an apocalyptic number.

It is an amenable number.

1016100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1016100101 is an equidigital number, since it uses as much as digits as its factorization.

1016100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1016100101 is about 31876.3250861827. The cubic root of 1016100101 is about 1005.3381537428.

Adding to 1016100101 its reverse (1010016101), we get a palindrome (2026116202).

The spelling of 1016100101 in words is "one billion, sixteen million, one hundred thousand, one hundred one".