2102210122012 has 216 divisors, whose sum is σ = 5106419556000. Its totient is φ = 756029514240.

The previous prime is 2102210121983. The next prime is 2102210122043.

It is a happy number.

2102210122012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 28018564 + ... + 28093492.

Almost surely, 2^{2102210122012} is an apocalyptic number.

2102210122012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102210122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553209778000).

2102210122012 is an abundant number, since it is smaller than the sum of its proper divisors (3004209433988).

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

2102210122012 is a wasteful number, since it uses less digits than its factorization.

2102210122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75002 (or 74962 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 2102210 and 122012, that added together give a palindrome (2224222).

The spelling of 2102210122012 in words is "two trillion, one hundred two billion, two hundred ten million, one hundred twenty-two thousand, twelve".