220201003313101 has 12 divisors (see below), whose sum is σ = 230273519839132. Its totient is φ = 210551740603776.

The previous prime is 220201003313089. The next prime is 220201003313107. The reversal of 220201003313101 is 101313300102022.

It can be written as a sum of positive squares in 2 ways, for example, as 150940758782025 + 69260244531076 = 12285795^2 + 8322274^2 .

It is not a de Polignac number, because 220201003313101 - 2¹⁷ = 220201003182029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201003313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72932076 + ... + 75891301.

Almost surely, 2^{220201003313101} is an apocalyptic number.

It is an amenable number.

220201003313101 is a deficient number, since it is larger than the sum of its proper divisors (10072516526031).

220201003313101 is a wasteful number, since it uses less digits than its factorization.

220201003313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148826220 (or 148826197 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 220201003313101 its reverse (101313300102022), we get a palindrome (321514303415123).

The spelling of 220201003313101 in words is "two hundred twenty trillion, two hundred one billion, three million, three hundred thirteen thousand, one hundred one".