100112212101001 has 2 divisors, whose sum is σ = 100112212101002. Its totient is φ = 100112212101000.

The previous prime is 100112212100977. The next prime is 100112212101007. The reversal of 100112212101001 is 100101212211001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60125306910601 + 39986905190400 = 7754051^2 + 6323520^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112212101001 - 2⁴¹ = 97913188845449 is a prime.

It is a super-2 number, since 2×100112212101001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112212101007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056106050500 + 50056106050501.

It is an arithmetic number, because the mean of its divisors is an integer number (50056106050501).

Almost surely, 2^{100112212101001} is an apocalyptic number.

It is an amenable number.

100112212101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112212101001 is an equidigital number, since it uses as much as digits as its factorization.

100112212101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112212101001 its reverse (100101212211001), we get a palindrome (200213424312002).

The spelling of 100112212101001 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, one hundred one thousand, one".