21102010222100 has 144 divisors (see below), whose sum is σ = 47693392427520. Its totient is φ = 8094266611200.

The previous prime is 21102010222093. The next prime is 21102010222103. The reversal of 21102010222100 is 122201020112.

It is a super-3 number, since 3×21102010222100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102010222103) 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 47 ways as a sum of consecutive naturals, for example, 497163479 + ... + 497205921.

It is an arithmetic number, because the mean of its divisors is an integer number (331204114080).

Almost surely, 2^{21102010222100} is an apocalyptic number.

21102010222100 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 21102010222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23846696213760).

21102010222100 is an abundant number, since it is smaller than the sum of its proper divisors (26591382205420).

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

21102010222100 is a wasteful number, since it uses less digits than its factorization.

21102010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43650 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21102010222100 its reverse (122201020112), we get a palindrome (21224211242212).

The spelling of 21102010222100 in words is "twenty-one trillion, one hundred two billion, ten million, two hundred twenty-two thousand, one hundred".