1009100010101 has 8 divisors (see below), whose sum is σ = 1021458242784. Its totient is φ = 996746549040.

The previous prime is 1009100010067. The next prime is 1009100010103. The reversal of 1009100010101 is 1010100019001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009100010101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009100010103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766430 + ... + 1614191.

It is an arithmetic number, because the mean of its divisors is an integer number (127682280348).

Almost surely, 2^{1009100010101} is an apocalyptic number.

It is an amenable number.

1009100010101 is a deficient number, since it is larger than the sum of its proper divisors (12358232683).

1009100010101 is an equidigital number, since it uses as much as digits as its factorization.

1009100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385811.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 1009100010101 its reverse (1010100019001), we get a palindrome (2019200029102).

The spelling of 1009100010101 in words is "one trillion, nine billion, one hundred million, ten thousand, one hundred one".