101000101099801 has 2 divisors, whose sum is σ = 101000101099802. Its totient is φ = 101000101099800.

The previous prime is 101000101099783. The next prime is 101000101099969. The reversal of 101000101099801 is 108990101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98787299072400 + 2212802027401 = 9939180^2 + 1487549^2 .

It is an emirp because it is prime and its reverse (108990101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000101099801 - 2⁴³ = 92204008077593 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000111099801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050549900 + 50500050549901.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050549901).

Almost surely, 2^{101000101099801} is an apocalyptic number.

It is an amenable number.

101000101099801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101099801 is an equidigital number, since it uses as much as digits as its factorization.

101000101099801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 31.

Adding to 101000101099801 its reverse (108990101000101), we get a palindrome (209990202099902).

The spelling of 101000101099801 in words is "one hundred one trillion, one hundred one million, ninety-nine thousand, eight hundred one".