2010310122000 has 320 divisors, whose sum is σ = 6721110249984. Its totient is φ = 516524083200.

The previous prime is 2010310121987. The next prime is 2010310122011. The reversal of 2010310122000 is 2210130102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22822042 + ... + 22909958.

Almost surely, 2^{2010310122000} is an apocalyptic number.

2010310122000 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 2010310122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360555124992).

2010310122000 is an abundant number, since it is smaller than the sum of its proper divisors (4710800127984).

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

2010310122000 is a wasteful number, since it uses less digits than its factorization.

2010310122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88083 (or 88067 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2010310122000 its reverse (2210130102), we get a palindrome (2012520252102).

The spelling of 2010310122000 in words is "two trillion, ten billion, three hundred ten million, one hundred twenty-two thousand".