221010202120000 has 140 divisors (see below), whose sum is σ = 550385571142836. Its totient is φ = 88024660480000.

The previous prime is 221010202119983. The next prime is 221010202120003. The reversal of 221010202120000 is 21202010122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 167021918300416 + 53988283819584 = 12923696^2 + 7347672^2 .

It is a super-2 number, since 2×221010202120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010202120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2536771 + ... + 21176770.

Almost surely, 2^{221010202120000} is an apocalyptic number.

221010202120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010202120000 is an abundant number, since it is smaller than the sum of its proper divisors (329375369022836).

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

221010202120000 is an equidigital number, since it uses as much as digits as its factorization.

221010202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23713806 (or 23713781 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221010202120000 its reverse (21202010122), we get a palindrome (221031404130122).

The spelling of 221010202120000 in words is "two hundred twenty-one trillion, ten billion, two hundred two million, one hundred twenty thousand".