211011021022100 has 72 divisors (see below), whose sum is σ = 522123378949368. Its totient is φ = 73328716800000.

The previous prime is 211011021022063. The next prime is 211011021022111. The reversal of 211011021022100 is 1220120110112.

It can be written as a sum of positive squares in 12 ways, for example, as 66232708169104 + 144778312852996 = 8138348^2 + 12032386^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4773982901 + ... + 4774027100.

It is an arithmetic number, because the mean of its divisors is an integer number (7251713596519).

Almost surely, 2^{211011021022100} is an apocalyptic number.

211011021022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011021022100 is an abundant number, since it is smaller than the sum of its proper divisors (311112357927268).

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

211011021022100 is a wasteful number, since it uses less digits than its factorization.

211011021022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548010045 (or 9548010038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211011021022100 its reverse (1220120110112), we get a palindrome (212231141132212).

The spelling of 211011021022100 in words is "two hundred eleven trillion, eleven billion, twenty-one million, twenty-two thousand, one hundred".