2102201201100 has 288 divisors, whose sum is σ = 8166538308096. Its totient is φ = 403219353600.

The previous prime is 2102201201041. The next prime is 2102201201117. The reversal of 2102201201100 is 11021022012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3199869 + ... + 3800468.

It is an arithmetic number, because the mean of its divisors is an integer number (28356035792).

Almost surely, 2^{2102201201100} is an apocalyptic number.

2102201201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102201201100 is an abundant number, since it is smaller than the sum of its proper divisors (6064337106996).

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

2102201201100 is a wasteful number, since it uses less digits than its factorization.

2102201201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000385 (or 7000378 counting only the distinct ones).

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

Adding to 2102201201100 its reverse (11021022012), we get a palindrome (2113222223112).

The spelling of 2102201201100 in words is "two trillion, one hundred two billion, two hundred one million, two hundred one thousand, one hundred".