201100202120202 has 128 divisors (see below), whose sum is σ = 503170994995200. Its totient is φ = 52054196045760.

The previous prime is 201100202120053. The next prime is 201100202120281. The reversal of 201100202120202 is 202021202001102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236782153 + ... + 237629939.

It is an arithmetic number, because the mean of its divisors is an integer number (3931023398400).

Almost surely, 2^{201100202120202} is an apocalyptic number.

201100202120202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100202120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251585497497600).

201100202120202 is an abundant number, since it is smaller than the sum of its proper divisors (302070792874998).

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

201100202120202 is a wasteful number, since it uses less digits than its factorization.

201100202120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849576.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201100202120202 its reverse (202021202001102), we get a palindrome (403121404121304).

The spelling of 201100202120202 in words is "two hundred one trillion, one hundred billion, two hundred two million, one hundred twenty thousand, two hundred two".