12211122120102 has 16 divisors (see below), whose sum is σ = 27135826933680. Its totient is φ = 4070374040016.

The previous prime is 12211122120097. The next prime is 12211122120107. The reversal of 12211122120102 is 20102122111221.

It is an interprime number because it is at equal distance from previous prime (12211122120097) and next prime (12211122120107).

It is a super-3 number, since 3×12211122120102³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122120107) 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 7 ways as a sum of consecutive naturals, for example, 113065945503 + ... + 113065945610.

It is an arithmetic number, because the mean of its divisors is an integer number (1695989183355).

Almost surely, 2^{12211122120102} is an apocalyptic number.

12211122120102 is an abundant number, since it is smaller than the sum of its proper divisors (14924704813578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211122120102 is a wasteful number, since it uses less digits than its factorization.

12211122120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226131891124 (or 226131891118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211122120102 its reverse (20102122111221), we get a palindrome (32313244231323).

It can be divided in two parts, 122111221 and 20102, that multiplied together give a palindrome (2454679764542).

The spelling of 12211122120102 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty thousand, one hundred two".