21133021130100 has 288 divisors, whose sum is σ = 74133261417600. Its totient is φ = 5121894297600.

The previous prime is 21133021130093. The next prime is 21133021130107. The reversal of 21133021130100 is 103112033112.

21133021130100 is a `hidden beast` number, since 2 + 11 + 330 + 21 + 1 + 301 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21133021130093) and next prime (21133021130107).

It is a super-2 number, since 2×21133021130100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133021130107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123377316 + ... + 123548484.

It is an arithmetic number, because the mean of its divisors is an integer number (257407157700).

Almost surely, 2^{21133021130100} is an apocalyptic number.

21133021130100 is a gapful number since it is divisible by the number (20) 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 21133021130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37066630708800).

21133021130100 is an abundant number, since it is smaller than the sum of its proper divisors (53000240287500).

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

21133021130100 is a wasteful number, since it uses less digits than its factorization.

21133021130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175360 (or 175347 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21133021130100 its reverse (103112033112), we get a palindrome (21236133163212).

The spelling of 21133021130100 in words is "twenty-one trillion, one hundred thirty-three billion, twenty-one million, one hundred thirty thousand, one hundred".