21100202200000 has 336 divisors, whose sum is σ = 65248931801088. Its totient is φ = 6576681600000.

The previous prime is 21100202199893. The next prime is 21100202200093. The reversal of 21100202200000 is 220200112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21100202200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14714929 + ... + 16085071.

It is an arithmetic number, because the mean of its divisors is an integer number (194193249408).

Almost surely, 2^{21100202200000} is an apocalyptic number.

21100202200000 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 21100202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32624465900544).

21100202200000 is an abundant number, since it is smaller than the sum of its proper divisors (44148729601088).

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

21100202200000 is an equidigital number, since it uses as much as digits as its factorization.

21100202200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370198 (or 1370168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21100202200000 its reverse (220200112), we get a palindrome (21100422400112).

The spelling of 21100202200000 in words is "twenty-one trillion, one hundred billion, two hundred two million, two hundred thousand".