1010010001 has 96 divisors (see below), whose sum is σ = 1496154240. Its totient is φ = 667699200.

The previous prime is 1010009993. The next prime is 1010010007. The reversal of 1010010001 is 1000100101.

1010010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010010001 - 2³ = 1010009993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010010007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7266190 + ... + 7266328.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^1010010001 is an apocalyptic number.

1010010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010010001 is a deficient number, since it is larger than the sum of its proper divisors (486144239).

1010010001 is a wasteful number, since it uses less digits than its factorization.

1010010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010010001 is about 31780.6545086787. The cubic root of 1010010001 is about 1003.3255951570.

Adding to 1010010001 its reverse (1000100101), we get a palindrome (2010110102).

The spelling of 1010010001 in words is "one billion, ten million, ten thousand, one".