211211221101100 has 72 divisors (see below), whose sum is σ = 499996904150016. Its totient is φ = 76803720840000.

The previous prime is 211211221101047. The next prime is 211211221101121. The reversal of 211211221101100 is 1101122112112.

It is a super-2 number, since 2×211211221101100² (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 23 ways as a sum of consecutive naturals, for example, 384143385 + ... + 384692815.

It is an arithmetic number, because the mean of its divisors is an integer number (6944401446528).

Almost surely, 2^{211211221101100} is an apocalyptic number.

211211221101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211221101100 is an abundant number, since it is smaller than the sum of its proper divisors (288785683048916).

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

211211221101100 is a wasteful number, since it uses less digits than its factorization.

211211221101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898927 (or 898920 counting only the distinct ones).

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

Adding to 211211221101100 its reverse (1101122112112), we get a palindrome (212312343213212).

It can be divided in two parts, 21121122 and 1101100, that added together give a palindrome (22222222).

The spelling of 211211221101100 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred".