2010210012000 has 144 divisors (see below), whose sum is σ = 7134235460352. Its totient is φ = 536055993600.

The previous prime is 2010210011977. The next prime is 2010210012007. The reversal of 2010210012000 is 2100120102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010210012007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27883584 + ... + 27955583.

It is an arithmetic number, because the mean of its divisors is an integer number (49543301808).

Almost surely, 2^{2010210012000} is an apocalyptic number.

2010210012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010210012000 is an abundant number, since it is smaller than the sum of its proper divisors (5124025448352).

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

2010210012000 is a wasteful number, since it uses less digits than its factorization.

2010210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55839198 (or 55839177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010210012000 its reverse (2100120102), we get a palindrome (2012310132102).

The spelling of 2010210012000 in words is "two trillion, ten billion, two hundred ten million, twelve thousand".