2201201102100 has 576 divisors, whose sum is σ = 8596121812992. Its totient is φ = 419986944000.

The previous prime is 2201201102083. The next prime is 2201201102101. The reversal of 2201201102100 is 12011021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201201102101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57338112 + ... + 57376488.

It is an arithmetic number, because the mean of its divisors is an integer number (14923822592).

Almost surely, 2^{2201201102100} is an apocalyptic number.

2201201102100 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 2201201102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298060906496).

2201201102100 is an abundant number, since it is smaller than the sum of its proper divisors (6394920710892).

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

2201201102100 is a wasteful number, since it uses less digits than its factorization.

2201201102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38616 (or 38609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2201201102100 its reverse (12011021022), we get a palindrome (2213212123122).

It can be divided in two parts, 2 and 201201102100, that added together give a palindrome (201201102102).

The spelling of 2201201102100 in words is "two trillion, two hundred one billion, two hundred one million, one hundred two thousand, one hundred".