21134400100 has 72 divisors (see below), whose sum is σ = 50131666368. Its totient is φ = 7669756800.

The previous prime is 21134400043. The next prime is 21134400107. The reversal of 21134400100 is 100443112.

It is a super-3 number, since 3×21134400100³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21134400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534202 + ... + 572398.

It is an arithmetic number, because the mean of its divisors is an integer number (696273144).

Almost surely, 2^21134400100 is an apocalyptic number.

21134400100 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 21134400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065833184).

21134400100 is an abundant number, since it is smaller than the sum of its proper divisors (28997266268).

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

21134400100 is a wasteful number, since it uses less digits than its factorization.

21134400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38725 (or 38718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21134400100 its reverse (100443112), we get a palindrome (21234843212).

The spelling of 21134400100 in words is "twenty-one billion, one hundred thirty-four million, four hundred thousand, one hundred".