11201002212101 has 8 divisors (see below), whose sum is σ = 12182049627384. Its totient is φ = 10237016491200.

The previous prime is 11201002212089. The next prime is 11201002212109. The reversal of 11201002212101 is 10121220010211.

11201002212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1116255640900 + 10084746571201 = 1056530^2 + 3175649^2 .

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 11201002212101 - 2⁴² = 6802955700997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201002212109) 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, 4265422226 + ... + 4265424851.

It is an arithmetic number, because the mean of its divisors is an integer number (1522756203423).

Almost surely, 2^{11201002212101} is an apocalyptic number.

It is an amenable number.

11201002212101 is a deficient number, since it is larger than the sum of its proper divisors (981047415283).

11201002212101 is a wasteful number, since it uses less digits than its factorization.

11201002212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530847191.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201002212101 its reverse (10121220010211), we get a palindrome (21322222222312).

The spelling of 11201002212101 in words is "eleven trillion, two hundred one billion, two million, two hundred twelve thousand, one hundred one".