11000002122101 has 16 divisors (see below), whose sum is σ = 11296425242928. Its totient is φ = 10707340492800.

The previous prime is 11000002122037. The next prime is 11000002122107. The reversal of 11000002122101 is 10122120000011.

It can be written as a sum of positive squares in 8 ways, for example, as 4173853086001 + 6826149036100 = 2043001^2 + 2612690^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000002122101 - 2⁶ = 11000002122037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000002122107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90072641 + ... + 90194681.

It is an arithmetic number, because the mean of its divisors is an integer number (706026577683).

Almost surely, 2^{11000002122101} is an apocalyptic number.

It is an amenable number.

11000002122101 is a deficient number, since it is larger than the sum of its proper divisors (296423120827).

11000002122101 is a wasteful number, since it uses less digits than its factorization.

11000002122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137432.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000002122101 its reverse (10122120000011), we get a palindrome (21122122122112).

The spelling of 11000002122101 in words is "eleven trillion, two million, one hundred twenty-two thousand, one hundred one".