21342134100 has 288 divisors, whose sum is σ = 72820228096. Its totient is φ = 4724697600.

The previous prime is 21342134089. The next prime is 21342134117. The reversal of 21342134100 is 143124312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11467170 + ... + 11469030.

Almost surely, 2^21342134100 is an apocalyptic number.

21342134100 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 21342134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36410114048).

21342134100 is an abundant number, since it is smaller than the sum of its proper divisors (51478093996).

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

21342134100 is a wasteful number, since it uses less digits than its factorization.

21342134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21342134100 its reverse (143124312), we get a palindrome (21485258412).

The spelling of 21342134100 in words is "twenty-one billion, three hundred forty-two million, one hundred thirty-four thousand, one hundred".