290011011101001 has 12 divisors (see below), whose sum is σ = 418911005010628. Its totient is φ = 193337807360544.

The previous prime is 290011011100997. The next prime is 290011011101017. The reversal of 290011011101001 is 100101110110092.

It can be written as a sum of positive squares in 2 ways, for example, as 30520763193600 + 259490247907401 = 5524560^2 + 16108701^2 .

It is not a de Polignac number, because 290011011101001 - 2² = 290011011100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290011011101501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238251430 + ... + 239465583.

Almost surely, 2^{290011011101001} is an apocalyptic number.

It is an amenable number.

290011011101001 is a deficient number, since it is larger than the sum of its proper divisors (128899993909627).

290011011101001 is a wasteful number, since it uses less digits than its factorization.

290011011101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477784472 (or 477784469 counting only the distinct ones).

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

Adding to 290011011101001 its reverse (100101110110092), we get a palindrome (390112121211093).

The spelling of 290011011101001 in words is "two hundred ninety trillion, eleven billion, eleven million, one hundred one thousand, one".