10220212221101 has 8 divisors (see below), whose sum is σ = 10388920089624. Its totient is φ = 10051541881920.

The previous prime is 10220212221073. The next prime is 10220212221173. The reversal of 10220212221101 is 10112221202201.

10220212221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 377868384100 + 9842343837001 = 614710^2 + 3137251^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10220212221101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220212221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220212221701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8832926 + ... + 9922751.

It is an arithmetic number, because the mean of its divisors is an integer number (1298615011203).

Almost surely, 2^{10220212221101} is an apocalyptic number.

It is an amenable number.

10220212221101 is a deficient number, since it is larger than the sum of its proper divisors (168707868523).

10220212221101 is an equidigital number, since it uses as much as digits as its factorization.

10220212221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18764671.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10220212221101 its reverse (10112221202201), we get a palindrome (20332433423302).

The spelling of 10220212221101 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred one".