2101100022200 has 24 divisors (see below), whose sum is σ = 4885057552080. Its totient is φ = 840440008800.

The previous prime is 2101100022181. The next prime is 2101100022247. The reversal of 2101100022200 is 22200011012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5252749856 + ... + 5252750255.

It is an arithmetic number, because the mean of its divisors is an integer number (203544064670).

Almost surely, 2^{2101100022200} is an apocalyptic number.

2101100022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101100022200 is an abundant number, since it is smaller than the sum of its proper divisors (2783957529880).

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

2101100022200 is a wasteful number, since it uses less digits than its factorization.

2101100022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505500127 (or 10505500118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2101100022200 its reverse (22200011012), we get a palindrome (2123300033212).

The spelling of 2101100022200 in words is "two trillion, one hundred one billion, one hundred million, twenty-two thousand, two hundred".