12122211012102 has 256 divisors, whose sum is σ = 29405429222400. Its totient is φ = 3686625976320.

The previous prime is 12122211012071. The next prime is 12122211012103. The reversal of 12122211012102 is 20121011222121.

12122211012102 is a `hidden beast` number, since 121 + 222 + 110 + 1 + 210 + 2 = 666.

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 (12122211012103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5630380258 + ... + 5630382410.

It is an arithmetic number, because the mean of its divisors is an integer number (114864957900).

Almost surely, 2^{12122211012102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122211012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702714611200).

12122211012102 is an abundant number, since it is smaller than the sum of its proper divisors (17283218210298).

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

12122211012102 is a wasteful number, since it uses less digits than its factorization.

12122211012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

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

Adding to 12122211012102 its reverse (20121011222121), we get a palindrome (32243222234223).

The spelling of 12122211012102 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, twelve thousand, one hundred two".