2012120212102 has 216 divisors, whose sum is σ = 4229526080808. Its totient is φ = 714861987840.

The previous prime is 2012120212097. The next prime is 2012120212117.

It is a happy number.

2012120212102 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 107 ways as a sum of consecutive naturals, for example, 166326118 + ... + 166338214.

It is an arithmetic number, because the mean of its divisors is an integer number (19581139263).

Almost surely, 2^{2012120212102} is an apocalyptic number.

2012120212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2012120212102 is an abundant number, since it is smaller than the sum of its proper divisors (2217405868706).

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

2012120212102 is a wasteful number, since it uses less digits than its factorization.

2012120212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12244 (or 12213 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, 2012120 and 212102, that added together give a palindrome (2224222).

The spelling of 2012120212102 in words is "two trillion, twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred two".