10220221212200 has 48 divisors (see below), whose sum is σ = 23762338545660. Its totient is φ = 4088032704000.

The previous prime is 10220221212199. The next prime is 10220221212209. The reversal of 10220221212200 is 221212202201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5697683068324 + 4522538143876 = 2386982^2 + 2126626^2 .

It is not an unprimeable number, because it can be changed into a prime (10220221212209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16337180 + ... + 16951220.

Almost surely, 2^{10220221212200} is an apocalyptic number.

10220221212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220221212200 is an abundant number, since it is smaller than the sum of its proper divisors (13542117333460).

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

10220221212200 is a wasteful number, since it uses less digits than its factorization.

10220221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697278 (or 697269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10220221212200 its reverse (221212202201), we get a palindrome (10441433414401).

Subtracting from 10220221212200 its reverse (221212202201), we obtain a palindrome (9999009009999).

The spelling of 10220221212200 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".