11011212102101 has 16 divisors (see below), whose sum is σ = 11195834558208. Its totient is φ = 10828097280000.

The previous prime is 11011212102097. The next prime is 11011212102151. The reversal of 11011212102101 is 10120121211011.

It is a cyclic number.

It is not a de Polignac number, because 11011212102101 - 2² = 11011212102097 is a prime.

It is a super-2 number, since 2×11011212102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011212102151) 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, 91552661 + ... + 91672853.

It is an arithmetic number, because the mean of its divisors is an integer number (699739659888).

Almost surely, 2^{11011212102101} is an apocalyptic number.

It is an amenable number.

11011212102101 is a deficient number, since it is larger than the sum of its proper divisors (184622456107).

11011212102101 is a wasteful number, since it uses less digits than its factorization.

11011212102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126452.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11011212102101 its reverse (10120121211011), we get a palindrome (21131333313112).

The spelling of 11011212102101 in words is "eleven trillion, eleven billion, two hundred twelve million, one hundred two thousand, one hundred one".