211221210001100 has 36 divisors (see below), whose sum is σ = 493607719990224. Its totient is φ = 77989369846080.

The previous prime is 211221210001091. The next prime is 211221210001211. The reversal of 211221210001100 is 1100012122112.

It is a super-2 number, since 2×211221210001100² (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, 81238925624 + ... + 81238928223.

It is an arithmetic number, because the mean of its divisors is an integer number (13711325555284).

Almost surely, 2^{211221210001100} is an apocalyptic number.

211221210001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221210001100 is an abundant number, since it is smaller than the sum of its proper divisors (282386509989124).

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

211221210001100 is a wasteful number, since it uses less digits than its factorization.

211221210001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162477853874 (or 162477853867 counting only the distinct ones).

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

Adding to 211221210001100 its reverse (1100012122112), we get a palindrome (212321222123212).

The spelling of 211221210001100 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one thousand, one hundred".