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1010210101001 = 29317109889057
BaseRepresentation
bin11101011001101010011…
…01101101011100001001
310120120112021112021222222
432230311031231130021
5113022402241213001
62052030100223425
7132661643115233
oct16546515553411
93516467467888
101010210101001
1135a4782a19a2
1214395139ab75
1374354668b1a
1436c7445b253
151b427cc661b
hexeb3536d709

1010210101001 has 8 divisors (see below), whose sum is σ = 1048341613320. Its totient is φ = 972298367488.

The previous prime is 1010210100983. The next prime is 1010210101049. The reversal of 1010210101001 is 1001010120101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5083547401 + 1005126553600 = 71299^2 + 1002560^2 .

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 1010210101001 - 230 = 1009136359177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010210101001.

It is not an unprimeable number, because it can be changed into a prime (1010210101051) 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, 54935336 + ... + 54953721.

It is an arithmetic number, because the mean of its divisors is an integer number (131042701665).

Almost surely, 21010210101001 is an apocalyptic number.

It is an amenable number.

1010210101001 is a deficient number, since it is larger than the sum of its proper divisors (38131512319).

1010210101001 is a wasteful number, since it uses less digits than its factorization.

1010210101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109889403.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010210101001 its reverse (1001010120101), we get a palindrome (2011220221102).

The spelling of 1010210101001 in words is "one trillion, ten billion, two hundred ten million, one hundred one thousand, one".

Divisors: 1 29 317 9193 109889057 3186782653 34834831069 1010210101001