211221100000100 has 36 divisors (see below), whose sum is σ = 474154952075700. Its totient is φ = 81575045516160.

The previous prime is 211221100000073. The next prime is 211221100000123. The reversal of 211221100000100 is 1000001122112.

It can be written as a sum of positive squares in 6 ways, for example, as 476475433984 + 210744624566116 = 690272^2 + 14517046^2 .

It is a super-2 number, since 2×211221100000100² (a number of 29 digits) contains 22 as substring.

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, 36417428135 + ... + 36417433934.

Almost surely, 2^{211221100000100} is an apocalyptic number.

211221100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221100000100 is an abundant number, since it is smaller than the sum of its proper divisors (262933852075600).

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

211221100000100 is a wasteful number, since it uses less digits than its factorization.

211221100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72834862112 (or 72834862105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211221100000100 its reverse (1000001122112), we get a palindrome (212221101122212).

The spelling of 211221100000100 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred million, one hundred", and thus it is an aban number.