2001022100 has 288 divisors, whose sum is σ = 5711634432. Its totient is φ = 590400000.

The previous prime is 2001022099. The next prime is 2001022117. The reversal of 2001022100 is 12201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19812050 + ... + 19812150.

It is an arithmetic number, because the mean of its divisors is an integer number (19832064).

Almost surely, 2^2001022100 is an apocalyptic number.

2001022100 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 2001022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855817216).

2001022100 is an abundant number, since it is smaller than the sum of its proper divisors (3710612332).

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

2001022100 is a wasteful number, since it uses less digits than its factorization.

2001022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

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

The square root of 2001022100 is about 44732.7855157713. The cubic root of 2001022100 is about 1260.1356408943.

Adding to 2001022100 its reverse (12201002), we get a palindrome (2013223102).

It can be divided in two parts, 200102 and 2100, that added together give a palindrome (202202).

The spelling of 2001022100 in words is "two billion, one million, twenty-two thousand, one hundred".