2002101101000 has 1024 divisors, whose sum is σ = 6891613747200. Its totient is φ = 523321344000.

The previous prime is 2002101100997. The next prime is 2002101101041. The reversal of 2002101101000 is 1011012002.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 493490972 + ... + 493495028.

It is an arithmetic number, because the mean of its divisors is an integer number (6730091550).

Almost surely, 2^{2002101101000} is an apocalyptic number.

2002101101000 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 2002101101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445806873600).

2002101101000 is an abundant number, since it is smaller than the sum of its proper divisors (4889512646200).

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

2002101101000 is a wasteful number, since it uses less digits than its factorization.

2002101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2002101101000 its reverse (1011012002), we get a palindrome (2003112113002).

The spelling of 2002101101000 in words is "two trillion, two billion, one hundred one million, one hundred one thousand".