211221100031000 has 32 divisors (see below), whose sum is σ = 494257374074880. Its totient is φ = 84488440012000.

The previous prime is 211221100030999. The next prime is 211221100031083. The reversal of 211221100031000 is 130001122112.

It is a super-2 number, since 2×211221100031000² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 105610549016 + ... + 105610551015.

It is an arithmetic number, because the mean of its divisors is an integer number (15445542939840).

Almost surely, 2^{211221100031000} is an apocalyptic number.

211221100031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221100031000 is an abundant number, since it is smaller than the sum of its proper divisors (283036274043880).

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

211221100031000 is a wasteful number, since it uses less digits than its factorization.

211221100031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211221100052 (or 211221100038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211221100031000 its reverse (130001122112), we get a palindrome (211351101153112).

The spelling of 211221100031000 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred million, thirty-one thousand".