10010010001001 has 4 divisors (see below), whose sum is σ = 10010630177604. Its totient is φ = 10009389824400.

The previous prime is 10010010000979. The next prime is 10010010001073. The reversal of 10010010001001 is 10010001001001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6342459443776 + 3667550557225 = 2518424^2 + 1915085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010010001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010010001091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 310064090 + ... + 310096371.

It is an arithmetic number, because the mean of its divisors is an integer number (2502657544401).

Almost surely, 2^{10010010001001} is an apocalyptic number.

It is an amenable number.

10010010001001 is a deficient number, since it is larger than the sum of its proper divisors (620176603).

10010010001001 is an equidigital number, since it uses as much as digits as its factorization.

10010010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620176602.

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

Adding to 10010010001001 its reverse (10010001001001), we get a palindrome (20020011002002).

Subtracting from 10010010001001 its reverse (10010001001001), we obtain a square (9000000 = 3000²).

The spelling of 10010010001001 in words is "ten trillion, ten billion, ten million, one thousand, one".