133221221121100 has 144 divisors (see below), whose sum is σ = 347784453425920. Its totient is φ = 43270990560000.

The previous prime is 133221221121089. The next prime is 133221221121103. The reversal of 133221221121100 is 1121122122331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133221221121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325520850 + ... + 1325621350.

Almost surely, 2^{133221221121100} is an apocalyptic number.

133221221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133221221121100 is an abundant number, since it is smaller than the sum of its proper divisors (214563232304820).

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

133221221121100 is a wasteful number, since it uses less digits than its factorization.

133221221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200208 (or 200201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 133221221121100 its reverse (1121122122331), we get a palindrome (134342343243431).

The spelling of 133221221121100 in words is "one hundred thirty-three trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".