211202122102220 has 96 divisors (see below), whose sum is σ = 447193917878400. Its totient is φ = 83784881885184.

The previous prime is 211202122102207. The next prime is 211202122102271. The reversal of 211202122102220 is 22201221202112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211202122102192 and 211202122102201.

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 31 ways as a sum of consecutive naturals, for example, 9877093649 + ... + 9877115031.

It is an arithmetic number, because the mean of its divisors is an integer number (4658269977900).

Almost surely, 2^{211202122102220} is an apocalyptic number.

211202122102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202122102220 is an abundant number, since it is smaller than the sum of its proper divisors (235991795776180).

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

211202122102220 is a wasteful number, since it uses less digits than its factorization.

211202122102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29907 (or 29905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211202122102220 its reverse (22201221202112), we get a palindrome (233403343304332).

The spelling of 211202122102220 in words is "two hundred eleven trillion, two hundred two billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty".