2012122212102 has 192 divisors, whose sum is σ = 4707241007040. Its totient is φ = 619293081600.

The previous prime is 2012122212031. The next prime is 2012122212161.

It is a happy number.

2012122212102 is a `hidden beast` number, since 20 + 1 + 212 + 221 + 210 + 2 = 666.

2012122212102 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 824301202 + ... + 824303642.

It is an arithmetic number, because the mean of its divisors is an integer number (24516880245).

Almost surely, 2^{2012122212102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012122212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353620503520).

2012122212102 is an abundant number, since it is smaller than the sum of its proper divisors (2695118794938).

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

2012122212102 is a wasteful number, since it uses less digits than its factorization.

2012122212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2012122212102 in words is "two trillion, twelve billion, one hundred twenty-two million, two hundred twelve thousand, one hundred two".