12111221201101 has 16 divisors (see below), whose sum is σ = 13230953361216. Its totient is φ = 10994616000000.

The previous prime is 12111221201077. The next prime is 12111221201147. The reversal of 12111221201101 is 10110212211121.

It is a cyclic number.

It is not a de Polignac number, because 12111221201101 - 2¹³ = 12111221192909 is a prime.

It is a super-2 number, since 2×12111221201101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111221201801) 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, 29305501 + ... + 29715901.

It is an arithmetic number, because the mean of its divisors is an integer number (826934585076).

Almost surely, 2^{12111221201101} is an apocalyptic number.

12111221201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111221201101 is a deficient number, since it is larger than the sum of its proper divisors (1119732160115).

12111221201101 is a wasteful number, since it uses less digits than its factorization.

12111221201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414204.

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

Adding to 12111221201101 its reverse (10110212211121), we get a palindrome (22221433412222).

The spelling of 12111221201101 in words is "twelve trillion, one hundred eleven billion, two hundred twenty-one million, two hundred one thousand, one hundred one".