221022010010000 has 100 divisors (see below), whose sum is σ = 535131010208652. Its totient is φ = 88406388288000.

The previous prime is 221022010009963. The next prime is 221022010010029. The reversal of 221022010010000 is 10010220122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 50114393039104 + 170907616970896 = 7079152^2 + 13073164^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391047602 + ... + 391612398.

Almost surely, 2^{221022010010000} is an apocalyptic number.

221022010010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022010010000 is an abundant number, since it is smaller than the sum of its proper divisors (314109000198652).

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

221022010010000 is an equidigital number, since it uses as much as digits as its factorization.

221022010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603958 (or 603937 counting only the distinct ones).

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

Adding to 221022010010000 its reverse (10010220122), we get a palindrome (221032020230122).

The spelling of 221022010010000 in words is "two hundred twenty-one trillion, twenty-two billion, ten million, ten thousand".