221020200110000 has 100 divisors (see below), whose sum is σ = 535225420034712. Its totient is φ = 88389342528000.

The previous prime is 221020200109999. The next prime is 221020200110069. The reversal of 221020200110000 is 11002020122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44890172 + ... + 49569828.

Almost surely, 2^{221020200110000} is an apocalyptic number.

221020200110000 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 221020200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267612710017356).

221020200110000 is an abundant number, since it is smaller than the sum of its proper divisors (314205219924712).

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

221020200110000 is an equidigital number, since it uses as much as digits as its factorization.

221020200110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684408 (or 4684387 counting only the distinct ones).

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

Adding to 221020200110000 its reverse (11002020122), we get a palindrome (221031202130122).

The spelling of 221020200110000 in words is "two hundred twenty-one trillion, twenty billion, two hundred million, one hundred ten thousand".