100100020000221 has 12 divisors (see below), whose sum is σ = 144998518116348. Its totient is φ = 66544300356864.

The previous prime is 100100020000181. The next prime is 100100020000229. The reversal of 100100020000221 is 122000020001001.

It can be written as a sum of positive squares in 2 ways, for example, as 46145324511225 + 53954695488996 = 6793035^2 + 7345386^2 .

It is not a de Polignac number, because 100100020000221 - 2⁴³ = 91303926978013 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 (100100020000229) 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, 15753855810 + ... + 15753862163.

It is an arithmetic number, because the mean of its divisors is an integer number (12083209843029).

Almost surely, 2^{100100020000221} is an apocalyptic number.

It is an amenable number.

100100020000221 is a deficient number, since it is larger than the sum of its proper divisors (44898498116127).

100100020000221 is a wasteful number, since it uses less digits than its factorization.

100100020000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31507718332 (or 31507718329 counting only the distinct ones).

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

Adding to 100100020000221 its reverse (122000020001001), we get a palindrome (222100040001222).

The spelling of 100100020000221 in words is "one hundred trillion, one hundred billion, twenty million, two hundred twenty-one", and thus it is an aban number.