100220201001 has 12 divisors (see below), whose sum is σ = 144894489012. Its totient is φ = 66752555136.

The previous prime is 100220200957. The next prime is 100220201033. The reversal of 100220201001 is 100102022001.

It can be written as a sum of positive squares in 2 ways, for example, as 49561445376 + 50658755625 = 222624^2 + 225075^2 .

It is not a de Polignac number, because 100220201001 - 2¹⁵ = 100220168233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100220200001) 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, 5065596 + ... + 5085341.

It is an arithmetic number, because the mean of its divisors is an integer number (12074540751).

Almost surely, 2^100220201001 is an apocalyptic number.

It is an amenable number.

100220201001 is a deficient number, since it is larger than the sum of its proper divisors (44674288011).

100220201001 is a wasteful number, since it uses less digits than its factorization.

100220201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152040 (or 10152037 counting only the distinct ones).

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

Adding to 100220201001 its reverse (100102022001), we get a palindrome (200322223002).

The spelling of 100220201001 in words is "one hundred billion, two hundred twenty million, two hundred one thousand, one".