2010200020992 has 288 divisors, whose sum is σ = 5902696800000. Its totient is φ = 658935889920.

The previous prime is 2010200020967. The next prime is 2010200020993. The reversal of 2010200020992 is 2990200020102.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010200020993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574505259 + ... + 574508757.

It is an arithmetic number, because the mean of its divisors is an integer number (20495475000).

Almost surely, 2^{2010200020992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010200020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951348400000).

2010200020992 is an abundant number, since it is smaller than the sum of its proper divisors (3892496779008).

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

2010200020992 is a wasteful number, since it uses less digits than its factorization.

2010200020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 2010200020992 in words is "two trillion, ten billion, two hundred million, twenty thousand, nine hundred ninety-two".