2002030010100 has 432 divisors, whose sum is σ = 6444704943040. Its totient is φ = 519673190400.

The previous prime is 2002030010093. The next prime is 2002030010119. The reversal of 2002030010100 is 10100302002.

It is a happy number.

It is a super-2 number, since 2×2002030010100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3660018027 + ... + 3660018573.

Almost surely, 2^{2002030010100} is an apocalyptic number.

2002030010100 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 2002030010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222352471520).

2002030010100 is an abundant number, since it is smaller than the sum of its proper divisors (4442674932940).

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

2002030010100 is a wasteful number, since it uses less digits than its factorization.

2002030010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2002030010100 its reverse (10100302002), we get a palindrome (2012130312102).

The spelling of 2002030010100 in words is "two trillion, two billion, thirty million, ten thousand, one hundred".