221100121001100 has 144 divisors (see below), whose sum is σ = 700652752603776. Its totient is φ = 53386483200000.

The previous prime is 221100121001083. The next prime is 221100121001107. The reversal of 221100121001100 is 1100121001122.

It is a super-2 number, since 2×221100121001100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221100121001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132637909 + ... + 134294508.

It is an arithmetic number, because the mean of its divisors is an integer number (4865644115304).

Almost surely, 2^{221100121001100} is an apocalyptic number.

221100121001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100121001100 is an abundant number, since it is smaller than the sum of its proper divisors (479552631602676).

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

221100121001100 is a wasteful number, since it uses less digits than its factorization.

221100121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266932696 (or 266932689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221100121001100 its reverse (1100121001122), we get a palindrome (222200242002222).

The spelling of 221100121001100 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, one thousand, one hundred".