220100001000201 has 12 divisors (see below), whose sum is σ = 363339684190912. Its totient is φ = 125771429142936.

The previous prime is 220100001000199. The next prime is 220100001000247. The reversal of 220100001000201 is 102000100001022.

It is not a de Polignac number, because 220100001000201 - 2¹ = 220100001000199 is a prime.

It is a super-3 number, since 3×220100001000201³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220100001000251) 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, 1746825404701 + ... + 1746825404826.

Almost surely, 2^{220100001000201} is an apocalyptic number.

220100001000201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220100001000201 is a deficient number, since it is larger than the sum of its proper divisors (143239683190711).

220100001000201 is a wasteful number, since it uses less digits than its factorization.

220100001000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493650809540 (or 3493650809537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 220100001000201 its reverse (102000100001022), we get a palindrome (322100101001223).

The spelling of 220100001000201 in words is "two hundred twenty trillion, one hundred billion, one million, two hundred one", and thus it is an aban number.