290011010111101 has 8 divisors (see below), whose sum is σ = 296756118578304. Its totient is φ = 283265931933600.

The previous prime is 290011010110979. The next prime is 290011010111131. The reversal of 290011010111101 is 101111010110092.

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 290011010111101 - 2³⁹ = 289461254297213 is a prime.

It is a super-3 number, since 3×290011010111101³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290011010111131) 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, 12405276 + ... + 27090826.

It is an arithmetic number, because the mean of its divisors is an integer number (37094514822288).

Almost surely, 2^{290011010111101} is an apocalyptic number.

It is an amenable number.

290011010111101 is a deficient number, since it is larger than the sum of its proper divisors (6745108467203).

290011010111101 is a wasteful number, since it uses less digits than its factorization.

290011010111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144851.

The product of its (nonzero) digits is 18, while the sum is 19.

Adding to 290011010111101 its reverse (101111010110092), we get a palindrome (391122020221193).

The spelling of 290011010111101 in words is "two hundred ninety trillion, eleven billion, ten million, one hundred eleven thousand, one hundred one".