211011221022100 has 36 divisors (see below), whose sum is σ = 457895564737884. Its totient is φ = 84404264423680.

The previous prime is 211011221022089. The next prime is 211011221022101. The reversal of 211011221022100 is 1220122110112.

It can be written as a sum of positive squares in 6 ways, for example, as 640505699856 + 210370715322244 = 800316^2 + 14504162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011221022101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38034642 + ... + 43227958.

It is an arithmetic number, because the mean of its divisors is an integer number (12719321242719).

Almost surely, 2^{211011221022100} is an apocalyptic number.

211011221022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221022100 is an abundant number, since it is smaller than the sum of its proper divisors (246884343715784).

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

211011221022100 is a wasteful number, since it uses less digits than its factorization.

211011221022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599644 (or 5599637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211011221022100 its reverse (1220122110112), we get a palindrome (212231343132212).

The spelling of 211011221022100 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, twenty-two thousand, one hundred".