10212200221201 has 8 divisors (see below), whose sum is σ = 11180800770624. Its totient is φ = 9250302790320.

The previous prime is 10212200221183. The next prime is 10212200221213.

It is a happy number.

10212200221201 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10212200221201 - 2⁹ = 10212200220689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212200221261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1675776445 + ... + 1675782538.

It is an arithmetic number, because the mean of its divisors is an integer number (1397600096328).

Almost surely, 2^{10212200221201} is an apocalyptic number.

10212200221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10212200221201 is a deficient number, since it is larger than the sum of its proper divisors (968600549423).

10212200221201 is a wasteful number, since it uses less digits than its factorization.

10212200221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351559271.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10212200 and 221201, that added together give a palindrome (10433401).

The spelling of 10212200221201 in words is "ten trillion, two hundred twelve billion, two hundred million, two hundred twenty-one thousand, two hundred one".