12101102101011 has 64 divisors (see below), whose sum is σ = 20991735521280. Its totient is φ = 6012682410240.

The previous prime is 12101102100911. The next prime is 12101102101063. The reversal of 12101102101011 is 11010120110121.

It is not a de Polignac number, because 12101102101011 - 2²⁷ = 12100967883283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101102101211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149887191 + ... + 149967903.

It is an arithmetic number, because the mean of its divisors is an integer number (327995867520).

Almost surely, 2^{12101102101011} is an apocalyptic number.

12101102101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101102101011 is a deficient number, since it is larger than the sum of its proper divisors (8890633420269).

12101102101011 is a wasteful number, since it uses less digits than its factorization.

12101102101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108976.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12101102101011 its reverse (11010120110121), we get a palindrome (23111222211132).

The spelling of 12101102101011 in words is "twelve trillion, one hundred one billion, one hundred two million, one hundred one thousand, eleven".