221020100210000 has 800 divisors, whose sum is σ = 684727212153600. Its totient is φ = 68628688128000.

The previous prime is 221020100209949. The next prime is 221020100210023. The reversal of 221020100210000 is 12001020122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2363223239 + ... + 2363316761.

It is an arithmetic number, because the mean of its divisors is an integer number (855909015192).

Almost surely, 2^{221020100210000} is an apocalyptic number.

221020100210000 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 221020100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342363606076800).

221020100210000 is an abundant number, since it is smaller than the sum of its proper divisors (463707111943600).

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

221020100210000 is an equidigital number, since it uses as much as digits as its factorization.

221020100210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93638 (or 93603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221020100210000 its reverse (12001020122), we get a palindrome (221032101230122).

The spelling of 221020100210000 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, two hundred ten thousand".