1009000101 has 32 divisors (see below), whose sum is σ = 1411153408. Its totient is φ = 640664640.

The previous prime is 1009000081. The next prime is 1009000129. The reversal of 1009000101 is 1010009001.

It is not a de Polignac number, because 1009000101 - 2¹⁸ = 1008737957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009008101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568886 + ... + 1569528.

It is an arithmetic number, because the mean of its divisors is an integer number (44098544).

Almost surely, 2^1009000101 is an apocalyptic number.

It is an amenable number.

1009000101 is a deficient number, since it is larger than the sum of its proper divisors (402153307).

1009000101 is a wasteful number, since it uses less digits than its factorization.

1009000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1009000101 is about 31764.7619383492. The cubic root of 1009000101 is about 1002.9910781979.

Adding to 1009000101 its reverse (1010009001), we get a palindrome (2019009102).

The spelling of 1009000101 in words is "one billion, nine million, one hundred one", and thus it is an aban number.