101011000001 has 4 divisors (see below), whose sum is σ = 101534373252. Its totient is φ = 100487626752.

The previous prime is 101010999997. The next prime is 101011000133. The reversal of 101011000001 is 100000110101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100000110101 = 223 ⋅448430987.

It can be written as a sum of positive squares in 2 ways, for example, as 65966785600 + 35044214401 = 256840^2 + 187201^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011000001 - 2² = 101010999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261686336 + ... + 261686721.

It is an arithmetic number, because the mean of its divisors is an integer number (25383593313).

Almost surely, 2^101011000001 is an apocalyptic number.

It is an amenable number.

101011000001 is a deficient number, since it is larger than the sum of its proper divisors (523373251).

101011000001 is an equidigital number, since it uses as much as digits as its factorization.

101011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523373250.

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

Adding to 101011000001 its reverse (100000110101), we get a palindrome (201011110102).

It can be divided in two parts, 10101 and 1000001, that multiplied together give a palindrome (10101010101).

The spelling of 101011000001 in words is "one hundred one billion, eleven million, one", and thus it is an aban number.