290111101100001 has 6 divisors (see below), whose sum is σ = 419049368255570. Its totient is φ = 193407400733328.

The previous prime is 290111101099993. The next prime is 290111101100021. The reversal of 290111101100001 is 100001101111092.

It can be written as a sum of positive squares in only one way, i.e., 278952661919376 + 11158439180625 = 16701876^2 + 3340425^2 .

It is not a de Polignac number, because 290111101100001 - 2³ = 290111101099993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290111101100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16117283394436 + ... + 16117283394453.

Almost surely, 2^{290111101100001} is an apocalyptic number.

It is an amenable number.

290111101100001 is a deficient number, since it is larger than the sum of its proper divisors (128938267155569).

290111101100001 is a wasteful number, since it uses less digits than its factorization.

290111101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32234566788895 (or 32234566788892 counting only the distinct ones).

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

Adding to 290111101100001 its reverse (100001101111092), we get a palindrome (390112202211093).

The spelling of 290111101100001 in words is "two hundred ninety trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one".