21221233232100 has 288 divisors, whose sum is σ = 67131489059712. Its totient is φ = 5133066240000.

The previous prime is 21221233232083. The next prime is 21221233232117. The reversal of 21221233232100 is 123233212212.

It is an interprime number because it is at equal distance from previous prime (21221233232083) and next prime (21221233232117).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4698079042 + ... + 4698083558.

It is an arithmetic number, because the mean of its divisors is an integer number (233095448124).

Almost surely, 2^{21221233232100} is an apocalyptic number.

21221233232100 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 21221233232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33565744529856).

21221233232100 is an abundant number, since it is smaller than the sum of its proper divisors (45910255827612).

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

21221233232100 is a wasteful number, since it uses less digits than its factorization.

21221233232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21221233232100 its reverse (123233212212), we get a palindrome (21344466444312).

The spelling of 21221233232100 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred thirty-three million, two hundred thirty-two thousand, one hundred".