900011002101 has 64 divisors (see below), whose sum is σ = 1339286317056. Its totient is φ = 535066214400.

The previous prime is 900011002097. The next prime is 900011002129. The reversal of 900011002101 is 101200110009.

It is not a de Polignac number, because 900011002101 - 2² = 900011002097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900011002171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15783121 + ... + 15840041.

It is an arithmetic number, because the mean of its divisors is an integer number (20926348704).

Almost surely, 2^900011002101 is an apocalyptic number.

It is an amenable number.

900011002101 is a deficient number, since it is larger than the sum of its proper divisors (439275314955).

900011002101 is a wasteful number, since it uses less digits than its factorization.

900011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57182.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 900011002101 in words is "nine hundred billion, eleven million, two thousand, one hundred one".