21463202100 has 288 divisors, whose sum is σ = 69661541376. Its totient is φ = 5073868800.

The previous prime is 21463202039. The next prime is 21463202143. The reversal of 21463202100 is 120236412.

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, 7857735 + ... + 7860465.

It is an arithmetic number, because the mean of its divisors is an integer number (241880352).

Almost surely, 2^21463202100 is an apocalyptic number.

21463202100 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 21463202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34830770688).

21463202100 is an abundant number, since it is smaller than the sum of its proper divisors (48198339276).

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

21463202100 is a wasteful number, since it uses less digits than its factorization.

21463202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2848 counting only the distinct ones).

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

Adding to 21463202100 its reverse (120236412), we get a palindrome (21583438512).

It can be divided in two parts, 2146 and 3202100, that added together give a triangular number (3204246 = T₂₅₃₁).

The spelling of 21463202100 in words is "twenty-one billion, four hundred sixty-three million, two hundred two thousand, one hundred".