21032102100 has 144 divisors (see below), whose sum is σ = 64487747520. Its totient is φ = 5282995200.

The previous prime is 21032102089. The next prime is 21032102107. The reversal of 21032102100 is 120123012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21032102107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 327219 + ... + 386181.

It is an arithmetic number, because the mean of its divisors is an integer number (447831580).

Almost surely, 2^21032102100 is an apocalyptic number.

21032102100 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 21032102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32243873760).

21032102100 is an abundant number, since it is smaller than the sum of its proper divisors (43455645420).

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

21032102100 is a wasteful number, since it uses less digits than its factorization.

21032102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59050 (or 59043 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21032102100 its reverse (120123012), we get a palindrome (21152225112).

The spelling of 21032102100 in words is "twenty-one billion, thirty-two million, one hundred two thousand, one hundred".