211220122100 has 36 divisors (see below), whose sum is σ = 493605180684. Its totient is φ = 77988967680.

The previous prime is 211220122073. The next prime is 211220122121. The reversal of 211220122100 is 1221022112.

It can be written as a sum of positive squares in 6 ways, for example, as 44596147684 + 166623974416 = 211178^2 + 408196^2 .

It is a super-2 number, since 2×211220122100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81237209 + ... + 81239808.

It is an arithmetic number, because the mean of its divisors is an integer number (13711255019).

Almost surely, 2^211220122100 is an apocalyptic number.

211220122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220122100 is an abundant number, since it is smaller than the sum of its proper divisors (282385058584).

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

211220122100 is a wasteful number, since it uses less digits than its factorization.

211220122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162477044 (or 162477037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211220122100 its reverse (1221022112), we get a palindrome (212441144212).

The spelling of 211220122100 in words is "two hundred eleven billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".