2010122000 has 80 divisors (see below), whose sum is σ = 4883354112. Its totient is φ = 800265600.

The previous prime is 2010121987. The next prime is 2010122011. The reversal of 2010122000 is 2210102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443747 + ... + 448253.

Almost surely, 2^2010122000 is an apocalyptic number.

2010122000 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 2010122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441677056).

2010122000 is an abundant number, since it is smaller than the sum of its proper divisors (2873232112).

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

2010122000 is a wasteful number, since it uses less digits than its factorization.

2010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4737 counting only the distinct ones).

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

The square root of 2010122000 is about 44834.3841264715. The cubic root of 2010122000 is about 1262.0429610577.

Adding to 2010122000 its reverse (2210102), we get a palindrome (2012332102).

The spelling of 2010122000 in words is "two billion, ten million, one hundred twenty-two thousand".