21010222112100 has 216 divisors, whose sum is σ = 66063079817280. Its totient is φ = 5153072970240.

The previous prime is 21010222112083. The next prime is 21010222112141. The reversal of 21010222112100 is 121122201012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21010222112100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13295881 + ... + 14791919.

Almost surely, 2^{21010222112100} is an apocalyptic number.

21010222112100 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 21010222112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33031539908640).

21010222112100 is an abundant number, since it is smaller than the sum of its proper divisors (45052857705180).

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

21010222112100 is a wasteful number, since it uses less digits than its factorization.

21010222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496359 (or 1496339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21010222112100 its reverse (121122201012), we get a palindrome (21131344313112).

The spelling of 21010222112100 in words is "twenty-one trillion, ten billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".