21010200112100 has 288 divisors, whose sum is σ = 49849309440000. Its totient is φ = 7659865889280.

The previous prime is 21010200112049. The next prime is 21010200112133. The reversal of 21010200112100 is 121100201012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3045394451 + ... + 3045401349.

It is an arithmetic number, because the mean of its divisors is an integer number (173087880000).

Almost surely, 2^{21010200112100} is an apocalyptic number.

21010200112100 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 21010200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24924654720000).

21010200112100 is an abundant number, since it is smaller than the sum of its proper divisors (28839109327900).

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

21010200112100 is a wasteful number, since it uses less digits than its factorization.

21010200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555 (or 7548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21010200112100 its reverse (121100201012), we get a palindrome (21131300313112).

The spelling of 21010200112100 in words is "twenty-one trillion, ten billion, two hundred million, one hundred twelve thousand, one hundred".