900101101 has 8 divisors (see below), whose sum is σ = 932251320. Its totient is φ = 868025088.

The previous prime is 900101093. The next prime is 900101107. The reversal of 900101101 is 101101009.

It can be written as a sum of positive squares in 4 ways, for example, as 165636900 + 734464201 = 12870^2 + 27101^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 900101101 - 2³ = 900101093 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 (900101107) 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 7 ways as a sum of consecutive naturals, for example, 6745 + ... + 42961.

It is an arithmetic number, because the mean of its divisors is an integer number (116531415).

Almost surely, 2^900101101 is an apocalyptic number.

It is an amenable number.

900101101 is a deficient number, since it is larger than the sum of its proper divisors (32150219).

900101101 is a wasteful number, since it uses less digits than its factorization.

900101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 900101101 is about 30001.6849693480. The cubic root of 900101101 is about 965.5255358232.

The spelling of 900101101 in words is "nine hundred million, one hundred one thousand, one hundred one".