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101010100001 = 175261576341
BaseRepresentation
bin101111000010010101…
…0111100111100100001
3100122201120022201221212
41132010222330330201
53123332041200001
6114223044555505
710204060453316
oct1360452747441
9318646281855
10101010100001
1139924628198
12176b00b2b95
1396a9b74b55
144c6327ad0d
152962c637bb
hex1784abcf21

101010100001 has 4 divisors (see below), whose sum is σ = 101010851604. Its totient is φ = 101009348400.

The previous prime is 101010099991. The next prime is 101010100003. The reversal of 101010100001 is 100001010101.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 81938490001 + 19071610000 = 286249^2 + 138100^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100001 - 222 = 101005905697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101010100003) 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 3 ways as a sum of consecutive naturals, for example, 112910 + ... + 463431.

It is an arithmetic number, because the mean of its divisors is an integer number (25252712901).

Almost surely, 2101010100001 is an apocalyptic number.

It is an amenable number.

101010100001 is a deficient number, since it is larger than the sum of its proper divisors (751603).

101010100001 is an equidigital number, since it uses as much as digits as its factorization.

101010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751602.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101010100001 its reverse (100001010101), we get a palindrome (201011110102).

The spelling of 101010100001 in words is "one hundred one billion, ten million, one hundred thousand, one".

Divisors: 1 175261 576341 101010100001