2002022101000 has 128 divisors (see below), whose sum is σ = 4734888968160. Its totient is φ = 792247680000.

The previous prime is 2002022100971. The next prime is 2002022101003. The reversal of 2002022101000 is 1012202002.

It can be written as a sum of positive squares in 16 ways, for example, as 330953981796 + 1671068119204 = 575286^2 + 1292698^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2002022101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138665782 + ... + 138680218.

Almost surely, 2^{2002022101000} is an apocalyptic number.

2002022101000 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 2002022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367444484080).

2002022101000 is an abundant number, since it is smaller than the sum of its proper divisors (2732866867160).

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

2002022101000 is a wasteful number, since it uses less digits than its factorization.

2002022101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15932 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002022101000 its reverse (1012202002), we get a palindrome (2003034303002).

The spelling of 2002022101000 in words is "two trillion, two billion, twenty-two million, one hundred one thousand".