12221112102101 has 16 divisors (see below), whose sum is σ = 14030287197696. Its totient is φ = 10427849216496.

The previous prime is 12221112102083. The next prime is 12221112102127. The reversal of 12221112102101 is 10120121112221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12221112102101 is a prime.

It is a super-3 number, since 3×12221112102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12221112102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221112102301) 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, 1921751 + ... + 5304276.

It is an arithmetic number, because the mean of its divisors is an integer number (876892949856).

Almost surely, 2^{12221112102101} is an apocalyptic number.

It is an amenable number.

12221112102101 is a deficient number, since it is larger than the sum of its proper divisors (1809175095595).

12221112102101 is an equidigital number, since it uses as much as digits as its factorization.

12221112102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227128.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12221112102101 its reverse (10120121112221), we get a palindrome (22341233214322).

The spelling of 12221112102101 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, one hundred two thousand, one hundred one".