100010121002221 has 8 divisors (see below), whose sum is σ = 100131621125400. Its totient is φ = 99888622954560.

The previous prime is 100010121002191. The next prime is 100010121002269. The reversal of 100010121002221 is 122200121010001.

It can be written as a sum of positive squares in 4 ways, for example, as 26341991678025 + 73668129324196 = 5132445^2 + 8583014^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010121002221 - 2²¹ = 100010118905069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010121002521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110253795 + ... + 111157183.

It is an arithmetic number, because the mean of its divisors is an integer number (12516452640675).

Almost surely, 2^{100010121002221} is an apocalyptic number.

It is an amenable number.

100010121002221 is a deficient number, since it is larger than the sum of its proper divisors (121500123179).

100010121002221 is an equidigital number, since it uses as much as digits as its factorization.

100010121002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037759.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100010121002221 its reverse (122200121010001), we get a palindrome (222210242012222).

The spelling of 100010121002221 in words is "one hundred trillion, ten billion, one hundred twenty-one million, two thousand, two hundred twenty-one".