21123110033100 has 216 divisors, whose sum is σ = 70759056474288. Its totient is φ = 5251939430400.

The previous prime is 21123110033093. The next prime is 21123110033101. The reversal of 21123110033100 is 133001132112.

21123110033100 is a `hidden beast` number, since 2 + 1 + 1 + 231 + 100 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×21123110033100² (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 not an unprimeable number, because it can be changed into a prime (21123110033101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4814281 + ... + 8088480.

It is an arithmetic number, because the mean of its divisors is an integer number (327588224418).

Almost surely, 2^{21123110033100} is an apocalyptic number.

21123110033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123110033100 is an abundant number, since it is smaller than the sum of its proper divisors (49635946441188).

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

21123110033100 is a wasteful number, since it uses less digits than its factorization.

21123110033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12902905 (or 12902895 counting only the distinct ones).

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

Adding to 21123110033100 its reverse (133001132112), we get a palindrome (21256111165212).

The spelling of 21123110033100 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred ten million, thirty-three thousand, one hundred".