10011002201111 has 16 divisors (see below), whose sum is σ = 10359730133280. Its totient is φ = 9667560376320.

The previous prime is 10011002201087. The next prime is 10011002201143. The reversal of 10011002201111 is 11110220011001.

It is a cyclic number.

It is not a de Polignac number, because 10011002201111 - 2⁶ = 10011002201047 is a prime.

It is a super-3 number, since 3×10011002201111³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011002201092 and 10011002201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002251111) 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 15 ways as a sum of consecutive naturals, for example, 52000871 + ... + 52193031.

It is an arithmetic number, because the mean of its divisors is an integer number (647483133330).

Almost surely, 2^{10011002201111} is an apocalyptic number.

10011002201111 is a deficient number, since it is larger than the sum of its proper divisors (348727932169).

10011002201111 is a wasteful number, since it uses less digits than its factorization.

10011002201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205906.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011002201111 its reverse (11110220011001), we get a palindrome (21121222212112).

The spelling of 10011002201111 in words is "ten trillion, eleven billion, two million, two hundred one thousand, one hundred eleven".