1024000101 has 6 divisors (see below), whose sum is σ = 1479111270. Its totient is φ = 682666728.

The previous prime is 1024000069. The next prime is 1024000129. The reversal of 1024000101 is 1010004201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1019269476 + 4730625 = 31926^2 + 2175^2 .

It is not a de Polignac number, because 1024000101 - 2⁵ = 1024000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 113777789 = 1024000101 / (1 + 0 + 2 + 4 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56888886 + ... + 56888903.

It is an arithmetic number, because the mean of its divisors is an integer number (246518545).

Almost surely, 2^1024000101 is an apocalyptic number.

It is an amenable number.

1024000101 is a deficient number, since it is larger than the sum of its proper divisors (455111169).

1024000101 is a wasteful number, since it uses less digits than its factorization.

1024000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113777795 (or 113777792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1024000101 is about 32000.0015781250. The cubic root of 1024000101 is about 1007.9368730544.

Adding to 1024000101 its reverse (1010004201), we get a palindrome (2034004302).

The spelling of 1024000101 in words is "one billion, twenty-four million, one hundred one", and thus it is an aban number.