211221132100 has 36 divisors (see below), whose sum is σ = 500018028048. Its totient is φ = 76807684000.

The previous prime is 211221132097. The next prime is 211221132103. The reversal of 211221132100 is 1231122112.

It is an interprime number because it is at equal distance from previous prime (211221132097) and next prime (211221132103).

It is a super-2 number, since 2×211221132100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96008506 + ... + 96010705.

It is an arithmetic number, because the mean of its divisors is an integer number (13889389668).

Almost surely, 2^211221132100 is an apocalyptic number.

211221132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221132100 is an abundant number, since it is smaller than the sum of its proper divisors (288796895948).

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

211221132100 is a wasteful number, since it uses less digits than its factorization.

211221132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192019236 (or 192019229 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211221132100 its reverse (1231122112), we get a palindrome (212452254212).

The spelling of 211221132100 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred".