2201020020100 has 108 divisors (see below), whose sum is σ = 5291228895232. Its totient is φ = 794068228800.

The previous prime is 2201020020097. The next prime is 2201020020109. The reversal of 2201020020100 is 10200201022.

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 (2201020020109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 820549 + ... + 2252851.

Almost surely, 2^{2201020020100} is an apocalyptic number.

2201020020100 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 2201020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645614447616).

2201020020100 is an abundant number, since it is smaller than the sum of its proper divisors (3090208875132).

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

2201020020100 is a wasteful number, since it uses less digits than its factorization.

2201020020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432466 (or 1432448 counting only the distinct ones).

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

Adding to 2201020020100 its reverse (10200201022), we get a palindrome (2211220221122).

It can be divided in two parts, 2 and 201020020100, that added together give a palindrome (201020020102).

The spelling of 2201020020100 in words is "two trillion, two hundred one billion, twenty million, twenty thousand, one hundred".