100201220001 has 12 divisors (see below), whose sum is σ = 144742080340. Its totient is φ = 66797589600.

The previous prime is 100201219969. The next prime is 100201220003. The reversal of 100201220001 is 100022102001.

It can be written as a sum of positive squares in 2 ways, for example, as 59938790976 + 40262429025 = 244824^2 + 200655^2 .

It is not a de Polignac number, because 100201220001 - 2⁵ = 100201219969 is a prime.

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 (100201220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63550 + ... + 452151.

Almost surely, 2^100201220001 is an apocalyptic number.

It is an amenable number.

100201220001 is a deficient number, since it is larger than the sum of its proper divisors (44540860339).

100201220001 is a wasteful number, since it uses less digits than its factorization.

100201220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537296 (or 537293 counting only the distinct ones).

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

Adding to 100201220001 its reverse (100022102001), we get a palindrome (200223322002).

The spelling of 100201220001 in words is "one hundred billion, two hundred one million, two hundred twenty thousand, one".