220201010210000 has 50 divisors (see below), whose sum is σ = 533128665843642. Its totient is φ = 88080404080000.

The previous prime is 220201010209937. The next prime is 220201010210003. The reversal of 220201010210000 is 12010102022.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 138527062141504 + 81673948068496 = 11769752^2 + 9037364^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201010210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11010040511 + ... + 11010060510.

Almost surely, 2^{220201010210000} is an apocalyptic number.

220201010210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201010210000 is an abundant number, since it is smaller than the sum of its proper divisors (312927655633642).

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

220201010210000 is an equidigital number, since it uses as much as digits as its factorization.

220201010210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22020101049 (or 22020101028 counting only the distinct ones).

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

Adding to 220201010210000 its reverse (12010102022), we get a palindrome (220213020312022).

The spelling of 220201010210000 in words is "two hundred twenty trillion, two hundred one billion, ten million, two hundred ten thousand".