2012101210000 has 300 divisors, whose sum is σ = 5677961008368. Its totient is φ = 688510368000.

The previous prime is 2012101209997. The next prime is 2012101210003. The reversal of 2012101210000 is 121012102.

It is an interprime number because it is at equal distance from previous prime (2012101209997) and next prime (2012101210003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012101210003) 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 59 ways as a sum of consecutive naturals, for example, 268026247 + ... + 268033753.

Almost surely, 2^{2012101210000} is an apocalyptic number.

2012101210000 is a gapful number since it is divisible by the number (20) 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 2012101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838980504184).

2012101210000 is an abundant number, since it is smaller than the sum of its proper divisors (3665859798368).

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

2012101210000 is an equidigital number, since it uses as much as digits as its factorization.

2012101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2012101210000 its reverse (121012102), we get a palindrome (2012222222102).

The spelling of 2012101210000 in words is "two trillion, twelve billion, one hundred one million, two hundred ten thousand".