100012000221121 has 8 divisors (see below), whose sum is σ = 100165107709800. Its totient is φ = 99859002767232.

The previous prime is 100012000221109. The next prime is 100012000221187. The reversal of 100012000221121 is 121122000210001.

It can be written as a sum of positive squares in 4 ways, for example, as 6724141679025 + 93287858542096 = 2593095^2 + 9658564^2 .

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 100012000221121 - 2⁹ = 100012000220609 is a prime.

It is a super-4 number, since 4×100012000221121⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012000221101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25689390 + ... + 29325223.

It is an arithmetic number, because the mean of its divisors is an integer number (12520638463725).

Almost surely, 2^{100012000221121} is an apocalyptic number.

It is an amenable number.

100012000221121 is a deficient number, since it is larger than the sum of its proper divisors (153107488679).

100012000221121 is a wasteful number, since it uses less digits than its factorization.

100012000221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55017395.

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

Adding to 100012000221121 its reverse (121122000210001), we get a palindrome (221134000431122).

The spelling of 100012000221121 in words is "one hundred trillion, twelve billion, two hundred twenty-one thousand, one hundred twenty-one".