100133220221100 has 432 divisors, whose sum is σ = 353502563721216. Its totient is φ = 23487501312000.

The previous prime is 100133220221053. The next prime is 100133220221119. The reversal of 100133220221100 is 1122022331001.

100133220221100 is a `hidden beast` number, since 10 + 0 + 1 + 332 + 2 + 0 + 221 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1944799557 + ... + 1944851043.

Almost surely, 2^{100133220221100} is an apocalyptic number.

100133220221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133220221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176751281860608).

100133220221100 is an abundant number, since it is smaller than the sum of its proper divisors (253369343500116).

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

100133220221100 is a wasteful number, since it uses less digits than its factorization.

100133220221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57886 (or 57876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100133220221100 its reverse (1122022331001), we get a palindrome (101255242552101).

The spelling of 100133220221100 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty million, two hundred twenty-one thousand, one hundred".