100200001221 has 12 divisors (see below), whose sum is σ = 144763002540. Its totient is φ = 66786308160.

The previous prime is 100200001201. The next prime is 100200001249. The reversal of 100200001221 is 122100002001.

It can be written as a sum of positive squares in 2 ways, for example, as 81310522500 + 18889478721 = 285150^2 + 137439^2 .

It is not a de Polignac number, because 100200001221 - 2⁷ = 100200001093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200001201) 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, 1094610 + ... + 1182611.

It is an arithmetic number, because the mean of its divisors is an integer number (12063583545).

Almost surely, 2^100200001221 is an apocalyptic number.

It is an amenable number.

100200001221 is a deficient number, since it is larger than the sum of its proper divisors (44563001319).

100200001221 is a wasteful number, since it uses less digits than its factorization.

100200001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282116 (or 2282113 counting only the distinct ones).

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

Adding to 100200001221 its reverse (122100002001), we get a palindrome (222300003222).

The spelling of 100200001221 in words is "one hundred billion, two hundred million, one thousand, two hundred twenty-one".