221142221121100 has 36 divisors (see below), whose sum is σ = 508106773944504. Its totient is φ = 83253542068480.

The previous prime is 221142221121043. The next prime is 221142221121103. The reversal of 221142221121100 is 1121122241122.

It is not an unprimeable number, because it can be changed into a prime (221142221121103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65041828042 + ... + 65041831441.

It is an arithmetic number, because the mean of its divisors is an integer number (14114077054014).

Almost surely, 2^{221142221121100} is an apocalyptic number.

221142221121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221142221121100 is an abundant number, since it is smaller than the sum of its proper divisors (286964552823404).

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

221142221121100 is a wasteful number, since it uses less digits than its factorization.

221142221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130083659514 (or 130083659507 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221142221121100 its reverse (1121122241122), we get a palindrome (222263343362222).

The spelling of 221142221121100 in words is "two hundred twenty-one trillion, one hundred forty-two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".