2202120201100 has 144 divisors (see below), whose sum is σ = 4999180032000. Its totient is φ = 841145195520.

The previous prime is 2202120201079. The next prime is 2202120201137. The reversal of 2202120201100 is 11020212022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203913501 + ... + 203924299.

It is an arithmetic number, because the mean of its divisors is an integer number (34716528000).

Almost surely, 2^{2202120201100} is an apocalyptic number.

2202120201100 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 2202120201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499590016000).

2202120201100 is an abundant number, since it is smaller than the sum of its proper divisors (2797059830900).

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

2202120201100 is a wasteful number, since it uses less digits than its factorization.

2202120201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2202120201100 its reverse (11020212022), we get a palindrome (2213140413122).

The spelling of 2202120201100 in words is "two trillion, two hundred two billion, one hundred twenty million, two hundred one thousand, one hundred".